单模光纤中Fokas系统的相位图和行波解

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Mathematical Physics Pub Date : 2023-04-14 DOI:10.1155/2023/8783222

Chao Tang, Zhao Li

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引用次数: 0

摘要

本文的主要目的是用平面动力学系统的方法研究单模光纤中Fokas系统的分岔和行波解。首先，利用行波变换将Fokas系统简化为二维平面动力系统。其次，通过选择固定的参数，利用Maple软件绘制出相位图。最后，得到了Fokas系统的Jacobi椭圆函数解、双曲函数解和三角函数解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers

The main purpose of this paper is to investigate the bifurcation and traveling wave solution of the Fokas system in monomode optical fibers by using the method of planar dynamical system. Firstly, the Fokas systems are reduced to two-dimensional planar dynamic system by using the traveling wave transformation. Secondly, by selecting fixed parameters, the phase portraits are drawn by using the Maple software. Finally, the Jacobi elliptic function solutions, the hyperbolic function solutions, and trigonometric function solutions of the Fokas system are obtained.

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来源期刊

Advances in Mathematical Physics 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

151

审稿时长

>12 weeks

期刊介绍： Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.