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On the discrete modified KP hierarchies: The Wronskian solutions for their constrained cases
Reports on Mathematical Physics ( IF 0.8 ) Pub Date : 2023-08-31 , DOI: 10.1016/s0034-4877(23)00057-5
Ge Yi , Liyun Wang , Kelei Tian , Ying Xu

The discrete modified KP hierarchies are compatible with generalized k-constraints. By means of the gauge transformation, a large class of solutions can be represented by the Wronskian determinants of functions satisfying a set of linear equations. In this paper, we give a sufficient and necessary condition to reduce the discrete mKP hierarchies obtained by the Wronskian solutions to the discrete k-constrained mKP hierarchies.



中文翻译:

关于离散修正 KP 层次结构:针对其约束情况的 Wronskian 解决方案

离散修改的 KP 层次结构与广义k约束兼容。通过规范变换,一大类解可以用满足一组线性方程的函数的朗斯基行列式来表示。在本文中,我们给出了一个充分必要条件来减少由离散k约束 mKP 层次结构的 Wronskian 解获得的离散mKP 层次结构。

更新日期:2023-09-01
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