BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHRODINGER EQUATION WITH FOURTH-ORDER DISPERSION AND CUBIC-QUINTIC NONLINEARITY

被引:1
|
作者
Xu, Yuanfen [1 ]
Zhang, Lina [2 ]
机构
[1] Zhejiang Wanli Univ, Jr Coll, Ningbo 315101, Zhejiang, Peoples R China
[2] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
Peakon; periodic peakon; sawtooth cusp wave; kink wave; bifurcation;
D O I
10.11948/20200092
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For the nonlinear schrodinger equation with fourth-order dispersion and cubic-quintic nonlinearity, by using the method of dynamical systems, the dynamics and bifurcations of the corresponding traveling wave system are studied. Under different parametric conditions, twenty exact parametric representations of the traveling wave solutions are obtained.
引用
收藏
页码:2722 / 2733
页数:12
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