This paper presents new explicit solutions of hyperbolic and trigonometric functions, obtained from the conformable fractional Biswas–Milovic equation, characterizing the long distance optical communications with three types nonlinearities: Kerr law, parabolic law and cubic-quartic ones. The Sardar sub-equation method is used, which gives the results that are of significant potential in a nonlinear system, providing a clear physical interpretation of the model under study. The resulting solutions are novel for the fractional Biswas–Milovic equation with the help of the method used, a powerful instrument for exploring precise solitary wave solutions for various other nonlinear equations in a nonlinear medium.

本文提出了从适形分数 Biswas-Milovic 方程获得的双曲和三角函数的新显式解，用三种类型的非线性来表征长距离光通信：克尔定律、抛物线定律和三次四次方程。使用萨达尔子方程方法，该方法给出了在非线性系统中具有重要潜力的结果，为所研究的模型提供了清晰的物理解释。借助所使用的方法，所得解对于分数 Biswas-Milovic 方程来说是新颖的，该方法是探索非线性介质中各种其他非线性方程的精确孤立波解的强大工具。