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Riemann–Hilbert approach for the inhomogeneous discrete nonlinear Schrödinger equation with nonzero boundary conditions Wave Motion (IF 2.4) Pub Date : 2024-03-21 Ya-Hui Liu, Rui Guo, Jian-Wen Zhang
In this paper, we systematically investigate the Riemann–Hilbert (RH) approach and obtain the soliton solutions for the inhomogeneous discrete nonlinear Schrödinger (NLS) equation with nonzero boundary conditions (NZBCs). Starting from the spectral problem and introducing the uniformization variable to avoid the complexity of double-valued function and Riemann surface, we deduce the analyticity, asymptotics
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A semi-analytical wavelet finite element method for wave propagation in rectangular rods Wave Motion (IF 2.4) Pub Date : 2024-03-20 Wenxiang Ding, Liangtian Li, Hongmei Zhong, Ying Li, Danyang Bao, Sheng Wei, Wenbin Wang
Prior knowledge of the dispersion curves and mode shapes of guided waves provides valuable information for wave mode selection and excitation in the field of non-destructive evaluation (NDE) and structural health monitoring (SHM). They are typically computed by the matrix methods, the finite element (FE) and semi-analytical finite element (SAFE) methods. However, the former is prone to numerical instability
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Assessment of a Technique for Faster Time Integration in Application to Seismic Wave Propagation Analysis Wave Motion (IF 2.4) Pub Date : 2024-03-08 Ali Lashgari, Aram Soroushian, Hamid Zafarani
To analyze structural systems’ oscillatory behaviors, time integration is a versatile broadly accepted time-consuming tool. In 2008, a technique, recently addressed as the SEB THAAT (Step-Enlargement-Based Time-History-Analysis-Acceleration-Technique), was proposed to accelerate the analysis when the excitation is available in digitized format. After many successful experiences regarding structural
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Rogue waves on the periodic background of the Kuralay-II equation Wave Motion (IF 2.4) Pub Date : 2024-03-02 Yadong Zhong, Yi Zhang
We derive the rogue wave solutions of the Kuralay-II equation by applying the Darboux transformation method with the Lax pair on the periodic background. These solutions are represented using Jacobian elliptic functions: dnoidal and cnoidal. The rogue wave solutions can be obtained on the periodic background while the dnoidal travelling periodic wave and cnoidal travelling periodic wave are modulationally
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Motion dynamics of two-dimensional fundamental and vortex solitons in the fractional medium with the cubic-quintic nonlinearity Wave Motion (IF 2.4) Pub Date : 2024-03-01 T. Mayteevarunyoo, B.A. Malomed
We report results of systematic investigation of dynamics featured by moving two-dimensional (2D) solitons generated by the fractional nonlinear Schrödinger equation (FNLSE) with the cubic-quintic nonlinearity. The motion of solitons is a nontrivial problem, as the fractional diffraction breaks the Galilean invariance of the underlying equation. The addition of the defocusing quintic term to the focusing
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Propagation characteristics of circumferential feature guided waves propagation in a revolved topological waveguide Wave Motion (IF 2.4) Pub Date : 2024-02-28 Xinyi Yuan, Weibin Li, Mingxi Deng
In our previous research, propagation characteristics and combined harmonic generation of feature guided waves (FGWs) in welded joints of plate structure, were analyzed theoretically and observed numerically. Circumferential ultrasonic guided waves find extensive applications in assessing rotating structures, highlighting the importance of investigating the propagation characteristics of circumferential
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A gradient reproducing kernel based stabilized collocation method for the 5th order Korteweg-de Vries equations Wave Motion (IF 2.4) Pub Date : 2024-02-28 Yijia Liu, Lihua Wang, Zhiyuan Xue, Magd Abdel Wahab
This paper presents a gradient reproducing kernel based stabilized collocation method (GRK-SCM) to solve the generalized nonlinear fifth-order Korteweg-de Vries (KdV) equations. By introducing gradient reproducing kernel (GRK) approximations, one can circumvent the intricacy of high-order derivatives in RK approximations, while still satisfying high-order consistency requirements. This leads to the
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Transmission of Lamb wave in a micro-mechanically piezoelectric fiber-reinforced composite plate Wave Motion (IF 2.4) Pub Date : 2024-02-27 Richa Kumari, Abhishek Kr. Singh, Santan Kumar, Sayantan Guha
The present work addresses the propagation characteristics of Lamb wave in a piezoelectric fiber-reinforced composite material plate. The considered plate is micro-mechanically modeled using the analytical techniques of the Strength of Materials and Rule of Mixtures. Secular equations are deduced for symmetric and antisymmetric modes of Lamb wave by employing suitable boundary conditions. The data
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Low frequency bandgap characteristics of a 3D chiral acoustic metamaterial structure Wave Motion (IF 2.4) Pub Date : 2024-02-24 Fang Yang, Jin-Shui Yang, Yi Wang, Shuang Li, Yong-Yao Chen
It has been proved that bandgaps in acoustic metamaterials can block elastic waves in certain frequencies, which offer an unprecedented solution to the low-frequency vibration control. However, there are still challenges of low bandgap frequencies and wide bandwidth. Meanwhile, chirality breaks the symmetry of the structures, which could also contribute to the formation of bandgaps in acoustic metamaterials
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Study of the acoustic scattering characteristics of a rigid sphere in a vortex acoustic field Wave Motion (IF 2.4) Pub Date : 2024-02-24 Jiaxi Yue, Xiaofeng Zhang
This paper investigates the scattering sound field of a rigid sphere positioned in a vortex beam generated by a phase-modulated circular transducer array. The effects of the dimensionless parameter , the number of array elements, the topological charge, the radius of the transducer array, the distance between the array and the sphere, and its offset position on the scattering sound field distribution
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A framework for computing directivities for ultrasonic sources in generally anisotropic, multi-layered media Wave Motion (IF 2.4) Pub Date : 2024-02-24 Xin L. Tu, Jie Zhang, Alberto M. Gambaruto, Paul D. Wilcox
The knowledge of the directivity of ultrasonic sources is an important element in the design of non-destructive evaluation inspection. The commonly used directivity model of piezoelectric devices is the superposition of out-of-plane force monopoles on the stress-free surface of an isotropic elastic half-space. However, this does not cover a growing range of ultrasonic generation scenarios, as new ultrasonic
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Double upscaling procedure for the Sine–Gordon equation with highly-oscillating coefficients: Homogenization and modulation equations Wave Motion (IF 2.4) Pub Date : 2024-02-23 Sergey Gavrilyuk, Bruno Lombard
We study the sine-Gordon equation with -periodic in space coefficients. Leading-order homogenization yields an effective sine-Gordon equation for which traveling wave periodic solutions of wavelength can be determined. The periodic solutions are then modulated on a scale . As we know, the corresponding Whitham equations are elliptic, which ensures that the periodic solution is unstable. However, the
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The emergence of low-frequency dual Fano resonances in chiral twisting metamaterials Wave Motion (IF 2.4) Pub Date : 2024-02-23 Brahim Lemkalli, Muamer Kadic, Youssef El Badri, Sébastien Guenneau, Abdellah Mir, Younes Achaoui
We describe innovative designs of chiral mechanical metamaterials with a twist feature that induces Fano-resonances with a relatively high quality factor. Through a finite element analysis, we delineate the phononic dispersion curves and transmission responses provided by a syndiotactic symmetry configuration, which we contrast to the ones of homogeneous medium, isotactic nonchiral, and isotactic chiral
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The effect of 3D surface roughness on acoustic wave propagation in a cylindrical waveguide Wave Motion (IF 2.4) Pub Date : 2024-02-23 Yicheng Yu, Anton Krynkin, Kirill V. Horoshenkov
This paper studies the acoustic wave scattering and attenuation in a cylindrical waveguide with wall roughness varying along all three dimensions and roughness height smaller than the acoustic wavelength. Using the decomposition of the acoustic wave field into deterministic and random components, small perturbation method and Fourier transform the analytical solution of a 3-D averaged acoustic wave
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Optical radiation force and torque of light-sheets on a cylindrical particle near an infinite boundary Wave Motion (IF 2.4) Pub Date : 2024-02-22 Yuchen Zang
This work aims to extend the previous studies on the optical radiation force and torque for a cylindrical dielectric particle to the case near an infinite boundary. Without loss of generality, the two-dimensional cylindrical object is assumed to have an arbitrary shape and be immersed in any light-sheet beam of arbitrary wave front. The partial-wave series expansion method in cylindrical coordinates
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Nonlinear concentric water waves of moderate amplitude Wave Motion (IF 2.4) Pub Date : 2024-02-17 Nerijus Sidorovas, Dmitri Tseluiko, Wooyoung Choi, Karima Khusnutdinova
We consider the outward-propagating nonlinear concentric water waves within the scope of the 2D Boussinesq system. The problem is axisymmetric, and we derive the slow radius versions of the cylindrical Korteweg - de Vries (cKdV) and extended cKdV (ecKdV) models. Numerical runs are initially performed using the full axisymmetric Boussinesq system. At some distance away from the origin, we use the numerical
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Families of exact solutions of a Generalized (2+1)-dimensional Boussinesq type equation Wave Motion (IF 2.4) Pub Date : 2024-02-15 Caifeng Chen, Maohua Li
In this paper, we study a Generalized (2+1)-dimensional Boussinesq-type equation. Using the Hirota bilinear method, we present the -order bright soliton solutions and dark soliton solutions. For the one-soliton solution, the bright soliton solution and the dark soliton solution share the same limit line but have different extreme values. Building on the soliton solutions, we derive higher-order bright
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Solitonic rogue and modulated wave patterns in the monoatomic chain with anharmonic potential Wave Motion (IF 2.4) Pub Date : 2024-02-12 Alphonse Houwe, Souleymanou Abbagari, Lanre Akinyemi, Kofané Timoléon Crépin
Modulation instability and rogue wave structures have been investigated in this work. This study is an extension of the work in Abbagari (2023), where a nonlinear Schrödinger equation with higher-order dispersion is derived to show only the development of the modulated waves bounded to bright soliton as a nonlinear exhibition of modulation instability. Here, the coupled nonlinear Schrödinger equation
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Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis Wave Motion (IF 2.4) Pub Date : 2024-02-10 Diptangshu Paul, K.R. Jayaprakash
To exploit low-frequency bandgaps in a chiral auxetic lattice, local resonators (LR) are usually incorporated. In that case, the tailorable bandgaps are the sub-Bragg bandgaps, whose width depend on the mass of the resonator and the effective stiffness of the elastic coupling used to attach the resonator. However, this does not allow direct control over the bandgaps above the sub-Bragg frequencies
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Wigner measures of electromagnetic waves in heterogeneous bianisotropic media Wave Motion (IF 2.4) Pub Date : 2024-02-08 Jean-Luc Akian, Éric Savin
We study the propagation of high-frequency electromagnetic waves in randomly heterogeneous bianisotropic media with dissipative properties. For that purpose we consider randomly fluctuating optical responses of such media with correlation lengths comparable to the typical wavelength of the waves. Although the fluctuations are weak, they induce multiple scattering over long propagation times and/or
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N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach Wave Motion (IF 2.4) Pub Date : 2024-02-07 Yipu Chen, Biao Li
This paper investigates the novel Kundu-nonlinear Schrödinger equation (nKundu-NLS) with zero boundary conditions by applying the inverse scattering method. A suitable Riemann–Hilbert problem (RHP) is formulated and solved by the Laurent expansion method. Through the Laurent series, the paper obtains the solutions of the RHP for different cases of the reflection coefficient, such as single and multiple
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Resonant solutions of the Davey–Stewartson II equation and their dynamics Wave Motion (IF 2.4) Pub Date : 2024-02-07 Jiguang Rao, Dumitru Mihalache, Jingsong He, Yi Cheng
This paper aims to study the evolution dynamics of resonant solutions of the Davey–Stewartson II equation. The resonant solutions can depict diverse collision scenarios among periodic solitons themselves or among periodic solitons with algebraic decaying solitons. A significant finding in these particular collisions is the observation of wave structure transitions in the algebraic decaying solitons
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Numerical study of guided waves in random anisotropic elastic cylinders immersed in fluids Wave Motion (IF 2.4) Pub Date : 2024-02-07 Fakhraddin Seyfaddini, Salah Naili, Christophe Desceliers, Vu-Hieu Nguyen
Dispersion characteristics of ultrasonic guided waves, which are commonly used for inspecting prismatic-like structures, may strongly be influenced due to the presence of spatial heterogeneity of material properties. This work presents a probabilistic framework to analyze the dispersion of guided waves in uncertain heterogeneous anisotropic elastic cylindrical structures coupled with fluids. To do
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Optimizing the management, control, and computation of skin depth in laminated structures considering reflection effects Wave Motion (IF 2.4) Pub Date : 2024-02-07 Sidi Mohamed Benhamou, Mekki Houbad
This study introduces an alternative method for calculating multilayered skin depth in laminated structures. It concentrates on locating the layer where the skin effect occurs and developing a novel formula for skin depth. This method involves attenuating the electric field as it traverses the layers of the structure until it reaches the 1/e point. The equation's resolution considers the reflection
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Wave transmission coefficient reduction by wooden fences Wave Motion (IF 2.4) Pub Date : 2024-02-07 Ikha Magdalena, Thalia Diandra Safira, Kemal Firdaus, H.Q. Rif’atin
In this study, we investigate the efficiency of wooden fences in reducing wave amplitude using a modified version of the Linear Shallow Water Equations. The resulting model is solved analytically and numerically to obtain the wave transmission coefficient. We apply a staggered finite volume method to obtain the numerical solution of the model, which is subsequently validated through comparison with
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Wave motion in continuous mono-coupled locally periodic structures Wave Motion (IF 2.4) Pub Date : 2024-02-03 H.M. Saeed
This paper deals with wave propagation in locally (i.e., bounded) periodic continuous systems where the wavefield cannot entirely be described in terms of Bloch waves. To gain better insights into this problem, use is made of the analogy, from wave propagations perspective, between homogeneous systems and their locally periodic counterparts, by viewing the former as equally locally but with arbitrary
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Zero-frequency corner modes in mechanical graphene Wave Motion (IF 2.4) Pub Date : 2024-02-03 Hasan B. Al Ba’ba’a
In an unconstrained elastic body, emergence of zero natural frequencies is an expectable outcome on account of the body’s ability to purely translate or rotate with no structural deformation. Recent advances in literature have pushed such conventional definition and demonstrated properties transcending typical zero-frequency modes, such as localization of deformation at a structural edge or corner
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Data-driven identification of the spectral operator in AKNS Lax pairs using conserved quantities Wave Motion (IF 2.4) Pub Date : 2024-02-01 Pascal de Koster, Sander Wahls
Lax-integrable partial differential equations (PDEs) can by definition be described through a compatibility condition between two linear operators. These operators are said to form a Lax pair for the PDE, which itself is usually nonlinear. Lax pairs are a very useful tool, but unfortunately finding them is a difficult problem in practice. In this paper, we propose a method that determines the spectral
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Analysis of electromagnetic vibration of submerged tubular linear motors based on wave propagation approach Wave Motion (IF 2.4) Pub Date : 2024-01-30 Guoqiang Guo, Yinglong Zhao, Anbin Yu
This paper presents the properties of electromagnetic vibration in a submerged tubular linear induction motor through an analytical model. Firstly, the spatial and temporal characteristics of electromagnetic force acting in the stator are analyzed. Subsequently, based on the wave propagation approach, an analytical model is established to calculate the vibration response of the stator, which is simplified
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On the evolution of complex signals and structures in media without dispersion Wave Motion (IF 2.4) Pub Date : 2024-01-28 S.N. Gurbatov, I.Yu. Demin, A.E. Spivak
The paper investigates the nonlinear evolution of complex signals and structures having two significantly different scales at the input: a high-frequency noise carrier and a regular modulating function. Consideration of the statistical characteristics of the velocity field is based on the asymptotic solution of the Burgers equation for a vanishingly small viscosity. This solution coincides with the
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Nonlinear acoustic radiation induced by in-plane vibration of hyperelastic rubber-like plates subject to dynamic loads Wave Motion (IF 2.4) Pub Date : 2024-01-28 Fangtao Xie, Yegao Qu, Yapeng Li, Guang Meng
This work is concerned with numerical studies on nonlinear vibration and acoustic radiation behaviors of hyperelastic plates made of rubber material. Considering both the geometric and material nonlinearity of the rubber material, structural model of the hyperelastic plate is developed based on the nonlinear finite element method and the Mooney-Rivlin constitutive model. Acoustic waves in an inviscid
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Solitons, dispersive shock waves and Noel Frederick Smyth Wave Motion (IF 2.4) Pub Date : 2024-01-27 Saleh Baqer, Tim Marchant, Gaetano Assanto, Theodoros Horikis, Dimitri Frantzeskakis
Noel Frederick Smyth (NFS), a Fellow of the Australian Mathematical Society and a Professor of Nonlinear Waves in the School of Mathematics at the University of Edinburgh, passed away on February 5, 2023. NFS was a prominent figure among applied mathematicians who worked on nonlinear wave theory in a broad range of areas. Throughout his academic career, which spanned nearly forty years, NFS developed
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Discontinuous initial value and Whitham modulation for the generalized Gerdjikov-Ivanov equation Wave Motion (IF 2.4) Pub Date : 2024-01-22 Yaqing Liu, Shijie Zeng
This paper mainly focuses on the possible wave patterns for the discontinuous initial value problem of the generalized Gerdjikov-Ivanov equation utilizing the Whitham modulation theory. The zero-phase, one-phase and two-phase solutions of the generalized Gerdjikov-Ivanov equation along with the corresponding Whitham equations are constructed by the approach of finite-gap integration. Considering the
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Compact bright pulse in inhomogeneous and nonlinear medium: Case of the Bose–Einstein Condensate Wave Motion (IF 2.4) Pub Date : 2024-01-21 Blaise Marius Mbiesset Pilah, Désiré Ndjanfang, Hatou-Yvelin Donkeng, David Yemélé
The extended one-dimensional Gross–Pitaevskii equation which describes the dynamics of localized wave in nonlocal nonlinear media, in particular the Bose–Einstein condensates (BECs) with time-dependent interatomic interactions in a parabolic potential in the presence of feeding or loss of atoms, is investigated. Through analytical methods invoking a modified lens-type transformation, an equivalent
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Inversion of circumferential elastic waves for characterization of concrete pipes Wave Motion (IF 2.4) Pub Date : 2024-01-15 Rohollah Taslimian, Arun P. Jaganathan
Circumferential elastic waves are used effectively for the non-destructive testing of cylindrical structures. Nevertheless, its potential for testing concrete pipes made out of non-homogeneous media has received only a limited attention. Characterization of such structures poses greater challenges due to the inherent uncertainty in measurements. This paper presents the inversion of elastic waves in
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Bell polynomials and superposition wave solutions of Hirota–Satsuma coupled KdV equations Wave Motion (IF 2.4) Pub Date : 2024-01-06 Lulu Fan, Taogetusang Bao
In this article, the bilinear form, the bilinear Bäcklund transformation, Lax pair, the integrability, infinite conservation laws, nonlinear superposition formula and superposition wave solutions of Hirota–Satsuma coupled KdV (HSCKdV) equations are studied, which can help us get more properties, increase the diversity of solutions and get more new phenomena. The bilinear form, the bilinear Bäcklund
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Experimental research on signal sensing of distributed acoustic sensing optical fiber based on Φ-OTDR in shallow water Wave Motion (IF 2.4) Pub Date : 2023-12-30 Wei-hao Cao, Guang-li Cheng
The distributed acoustic sensing (DAS) technology based on phase-sensitive optical time domain reflectometry (Φ-OTDR) has been widely and well applied on land. Meanwhile, the distributed acoustic sensing optical fiber (DASF) based on Φ-OTDR, as a new type of sensor, is still in the initial stage of research, gets much attention in recent years because of its long-distance monitoring, high sensitivity
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Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background Wave Motion (IF 2.4) Pub Date : 2023-12-30 Jinbing Chen, Dmitry E. Pelinovsky
The Benjamin–Ono (BO) equation describes long internal waves of small amplitude in deep fluids. Compared to its counterpart for shallow fluids, the Korteweg–de Vries (KdV) equation, the BO equation admits exact solutions for the traveling periodic and solitary waves as well as their interactions expressed in elementary (trigonometric and polynomial) functions. Motivated by a recent progress for the
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Traveling waves of delayed Zakharov–Kuznetsov Kuramoto–Sivashinsky equation Wave Motion (IF 2.4) Pub Date : 2023-12-22 Jianjiang Ge, Ranchao Wu
This paper deals with the existence of periodic wave and solitary wave solutions for the Zakharov–Kuznetsov equation with different perturbations. Firstly, we prove the existence of periodic wave and solitary wave solutions for the original Zakharov–Kuznetsov equation by means of the phase space analysis. Then we discuss the existence of periodic wave and solitary wave solutions for the Zakharov–Kuznetsov
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Effect of thin vertical porous barrier with variable permeability on an obliquely incident wave train Wave Motion (IF 2.4) Pub Date : 2023-12-24 Dibakar Mondal, Shreya Banerjee, Sudeshna Banerjea
The present paper is concerned with a study of wave propagation due to incidence of an obliquely incident wave on a thin porous vertical barrier with variable porosity. Two different configurations of the barrier are considered: 1. partially immersed barrier 2. bottom standing barrier in water of finite depth. The problem is formulated in terms of a Fredholm integral equation of the second kind, where
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A caustic terminating at an inflection point Wave Motion (IF 2.4) Pub Date : 2023-12-09 J.R. Ockendon, H. Ockendon, R.H. Tew, D.P. Hewett, A. Gibbs
We present an asymptotic and numerical study of the evolution of an incoming wavefield which has a caustic close to a curve with an inflection point. Our results reveal the emergence of a wavefield which resembles that of a shadow boundary but has a maximum amplitude along the tangent at the inflection point.
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Various types of discrete exact localized wave solutions and dynamical analysis for the discrete complex modified Korteweg-de Vries equation Wave Motion (IF 2.4) Pub Date : 2023-12-10 Ming-Juan Guo, Xiao-Yong Wen, Xue-Ke Liu
Under consideration is the second-order integrable discretization of complex modified Korteweg-de Vries (mKdV) equation which is regarded as the discrete counterpart of the mKdV equation having an essential role in describing the propagation behavior of water waves and acoustic waves in nonlinear media. First of all, based on the known linear spectral problem, the discrete generalized (n,N−n)-fold
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Scattering of water waves by multiple rows of vertical thin barriers Wave Motion (IF 2.4) Pub Date : 2023-12-06 Jin Huang, Richard Porter
The reflection and transmission of waves by a periodic array of thin fixed identical vertical barriers extending uniformly through the depth of the fluid is considered. The water wave problem, which also has analogues in acoustics and electromagnetics, involves scattering by a large finite number of equally spaced rows, each consisting of an array of barriers with a linear periodic arrangement extending
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Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations Wave Motion (IF 2.4) Pub Date : 2023-12-04 Hao-Nan Dong
Hybrid rogue wave and breather solutions of the nonlinear coupled dispersionless evolution equations are studied by Darboux transformation. Firstly, a new Darboux transformation is constructed for the coupled dispersionless evolution equations. The solutions of the appropriate Lax pair are selected to construct the hybrid solutions. Nth-order breather solutions are derived by N-step Darboux transformation
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On the Quartic Korteweg–de Vries hierarchy of nonlinear Rossby waves and its dynamics Wave Motion (IF 2.4) Pub Date : 2023-11-19 Shuting Hou, Ruigang Zhang, Zhihui Zhang, Liangui Yang
A long-standing challenge in exploring the dynamics of large-scale atmospheric or oceanic motions is to find more appropriate theoretical models. This paper aims at the mechanisms of nonlinear Rossby waves by a new obtained nonlinear evolutionary equation hierarchy approach. The multiple scales method and weak nonlinear perturbation method are adopted based on the quasi-geostrophic potential vorticity
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Short crested wave–current interaction with a cylinder and two concentric asymmetric arc-shaped walls Wave Motion (IF 2.4) Pub Date : 2023-11-19 Jianming Miao, Zhiqun Guo, Zhenfeng Zhai
The diffraction problem of the interaction of short-crested incident waves and currents with a combined structure is studied. The combined structure consists of two concentric asymmetric exterior porous arc-shaped cylinders and an impermeable interior cylinder. A variable separation and an eigenfunction expansion method are used to derive the velocity potential for the entire fluid domain. The accuracy
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An analytical approach for the analysis of stress wave transmission and reflection in waveguide systems based on Timoshenko beam theory Wave Motion (IF 2.4) Pub Date : 2023-11-18 Ali Farahani, Mahdi Samadzad, Reza Rafiee-Dehkharghani
The paper presents an analytical continuous solution for the analysis of wave refraction and transmission/reflection caused by arbitrarily complex waveguide subsystems. It allows analyzing the way stress wave components are altered as they go through a substructure. The method is new in that it investigates the wave phenomena which govern the dynamic behavior of a structural system explicitly and studies
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Double defects in trampoline effect and Helmholtz coupled acoustic metamaterial for broadband piezoelectric energy harvesting Wave Motion (IF 2.4) Pub Date : 2023-11-15 Jiahui Zhong, Zhemin Chai, Jiawei Xiang
An acoustic metamaterial with double defects is proposed to widen bandwidth and improve energy collection. Defects can limit elastic waves to achieve energy localization. The introduction of defects in acoustical supermaterials can improve energy localization and amplify the effect, but single defects are easily limited by narrow bandwidth. Therefore, the bandwidth is broadened by adding double defects
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Nonlinear localized waves and their interactions for a (2+1)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid Wave Motion (IF 2.4) Pub Date : 2023-11-15 Chong-Dong Cheng, Bo Tian, Tian-Yu Zhou, Yuan Shen
In fluid dynamics, a (2+1)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation is hereby investigated. Bilinear form and N-soliton solutions are determined with the Hirota method and symbolic computation, where N is a positive integer. N-soliton solutions are used to build the higher-order breather and lump solutions with the complex parameter relation and long-wave-limit method. Elastic
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Localized waves solutions for the fifth-order coupled extended modified KdV equation Wave Motion (IF 2.4) Pub Date : 2023-11-02 N. Song, R. Liu, M.M. Guo, W.X. Ma
The fifth-order coupled extended modified Korteweg–de-Vries (KdV) equation is studied. Based on seed solutions and Lax pairs, the Nth-order iterative expression of the localized wave solutions of the equation are obtained by the generalized Darboux transformation. Then, through numerical simulation, the evolution plots of the interaction of rogue waves with dark–bright solitons and the Kuznetsov–Ma
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Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type wave solutions for a generalized breaking soliton system in (3+1)-dimensions Wave Motion (IF 2.4) Pub Date : 2023-11-02 Litao Gai, Wenyu Wu, Taifeng Ding, Youhua Qian
Based on five types of structures of the functional multi-layer neural network model, some explicit exact solutions for a (3+1)-dimensional generalized breaking soliton system including lump waves, lump-stripe solitons and rogue-type waves are explored by using bilinear neural network method without the datasets training. The 3-dimensional plots, 2-dimensional curves and density plots of these results
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Quasi-Grammian solutions of the coupled Gerdjikov–Ivanov equation Wave Motion (IF 2.4) Pub Date : 2023-10-29 Halis Yilmaz
We construct the N-fold standard binary Darboux transformation (bDT) for the coupled Gerdjikov–Ivanov (cGI) equation. Then, using the bDT presented in this article, we explicitly construct the exact solutions of the cGI equation in terms of quasi-Grammians. As applications of the bDT, we present various particular solutions for the cGI equation, including soliton, breather, and rogue wave solutions
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H-breather solutions, inelastic interactions of the lumps and resonant interactions of the breathers for a (2+1)-dimensional nonlinear evolution equation Wave Motion (IF 2.4) Pub Date : 2023-10-31 Shao-Hua Liu, Bo Tian, Xiao-Tian Gao
Studies are conducted on a (2+1)-dimensional nonlinear evolution equation. We investigate the inelastic interactions of the two/three/four lumps based on the M-lump solutions, where M is a positive integer. We observe the different patterns of inelastic interactions of the lumps. We construct the H-breather solutions and carry out the asymptotic analyses for two/three-breather solutions via the symbolic
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Integrable generalization of the modified Camassa–Holm equation in 2+1 dimensions Wave Motion (IF 2.4) Pub Date : 2023-10-18 Nianhua Li, Hongmin Li
We propose a new (2+1)-dimensional modified Camassa–Holm equation by applying a reciprocal transformation to the negative modified Kadomtsev–Patvishvili II equation. We construct multi-soliton solutions of the new equation by combining the reciprocal transformation and the Darboux transformation of the negative modified Kadomtsev–Patvishvili II equation.
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Solutions on the periodic background and transition state mechanisms for the higher-order Chen–Lee–Liu equation Wave Motion (IF 2.4) Pub Date : 2023-10-12 Jia-Xue Niu, Rui Guo, Jian-Wen Zhang
Under investigation in this paper is the higher-order Chen–Lee–Liu (HOCLL) equation which can describe optical pulses propagation in the medium involving high-order dispersion and quintic nonlinearity effects. Through Darboux transformation (DT), different types of solutions on the periodic and double-periodic backgrounds are constructed including periodic solutions, solitons, breathers, rogue waves
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Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation Wave Motion (IF 2.4) Pub Date : 2023-10-16 Wang Tang, Guo-Fu Yu, Shou-Feng Shen
In this paper, we explore the topic of rogue waves on periodic backgrounds. Using the travelling wave reduction method, we derive two families of periodic solutions for the coupled integrable dispersionless (CD) equation expressed in Jacobi elliptic dnoidal and conoidal functions, respectively. We use these Jacobi elliptic functions as seed solutions to construct algebraic decaying solitons on the
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Velocity and energy of periodic travelling interfacial waves between two bounded fluids Wave Motion (IF 2.4) Pub Date : 2023-10-12 F.S. Cal, G.A.S. Dias
For a periodic travelling irrotational wave propagating at the interface between two homogeneous, incompressible and inviscid fluids bounded by horizontal planes, we generalise the Stokes definitions for the velocity of the wave propagation. Under certain conditions imposed on the horizontal velocity of the motion at the interface and supposing that the horizontal components of the velocity in each
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High frequency attenuation of elastic waves transmitted at an angle through a randomly-fluctuating horizontally-layered slab Wave Motion (IF 2.4) Pub Date : 2023-10-06 M. Colvez, R. Cottereau
This paper is concerned with the modeling of elastic waves traveling at small incidence angles through a randomly-fluctuating horizontally-layered slab, in regimes where the wavelength is small compared to the thickness of the slab. The wave propagation problem is reset in a frame following the coherent front, which propagates in a homogenized medium. This homogenized medium is anisotropic because
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Influence of right-angled elbows on the modal response of labyrinthine meta-materials Wave Motion (IF 2.4) Pub Date : 2023-09-30 Tristan Cambonie, Emmanuel Gourdon, Emmanuel Redon, Quentin Leclere
This article studies how right-angled 90 degrees elbows modify the resonance properties of labyrinths. The resonance properties are evaluated by considering the dispersion curves obtained by performing a band structure calculation. The response to the bandgaps width and positions in the presence of one, then two and finally a large number of elbows has then been studied to quantify the influence of
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Numerical study of the behavior of rectangular acoustic black holes for sound absorption in air Wave Motion (IF 2.4) Pub Date : 2023-09-30 M. Červenka, M. Bednařík
In this work, the behavior of acoustic black holes (ABHs) serving as an anechoic termination of air-filled waveguides with a rectangular cross-section is numerically studied. These ABHs consist of a set of rigid ribs separated by narrow slits, whose height smoothly varies along the structure and whose aim is to slow-down the impinging acoustic wave and cause its absorption. For the purpose of this