Bifurcations and traveling wave solutions for a fourth-order integrable nonlinear Schrodinger equation

被引：3
|
作者：
Liu, Minghuan [1 ]
Zheng, Yuanguang [1 ]
机构：
[1] Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Jiangxi, Peoples R China
来源：
OPTIK | 2022年 / 255卷
基金：
中国国家自然科学基金;
关键词：
Schrodinger equation; Periodic wave solution; Anti-kink wave solution; Kink wave solution; Singular wave; TANH METHOD; EVOLUTION; DISCRETE; SOLITONS;
D O I：
10.1016/j.ijleo.2022.168632
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, we study a fourth-order integrable nonlinear Schrodinger equation by bifurcation method of differential dynamical system. The study of the plane traveling wave system derives a binary Hamiltonian function. Based on Hamiltonian function, we obtain the bifurcation of the plane traveling wave system. Unfortunately, the Hamiltonian function is a hyper-elliptic function, it is impossible to find all bounded traveling wave solutions. We have to consider the traveling wave solution under some special parameter conditions. At the same time, we use the modified simplest equation method to find more traveling wave solutions for the fourth-order integrable nonlinear Schrodinger equation.
引用
收藏
页数：10
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