(4+1)维Fokas方程的有界行波解  

Bounded Traveling Wave Solutions of(4+1)Dimensional Fokas Equation

作　　者：蔡妮平 CAI Niping(College of Applied Mathematics,Chengdu University of Information Technology,Chengdu 610225,China)

机构地区：[1]成都信息工程大学应用数学学院,四川成都610225

出　　处：《成都信息工程大学学报》2023年第2期240-243,共4页Journal of Chengdu University of Information Technology

基　　金：四川省科技厅资助项目(2021ZYD0009)。

摘　　要：利用动力系统分岔的方法研究(4+1)维Fokas方程的有界行波解,获得不同参数情况下这个高维方程的行波系统的不同拓扑结构相图.这些相图清楚地展示了行波系统所有可能的有界轨道.通过复杂的椭圆积分,根据这些不同类型的轨道给出有界行波解,包括钟型孤立波解和周期波解.In this paper,the bifurcation method of dynamical system is used to study the bounded traveling wave solutions of(4+1)dimensional Fokas equation.We obtain the different topological structure of the traveling wave solution of this higher dimensional equation with different parameters.These phase diagrams clearly show all bounded orbits of it.Calculating by complex elliptic integrals,bounded solutions of traveling waves are given according to these different types of orbits,including bell solitary wave solutions and periodic wave solutions.

关 键 词：(4+1)维Fokas方程 动力系统 周期波解 孤波解 

分 类 号：O192[理学—数学]