Exact traveling wave solutions and bifurcations of the Biswas-Milovic equation

被引：8
作者：
Zhu, Wenjing [1 ]
Li, Jibin [1 ,2 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Kunming Univ Sci & Technol, Dept Math, Kunming 650093, Yunnan, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 84卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Solitary wave solution; Kink wave solution; Periodic wave solution; Compacton; Bifurcation; NONLINEAR SCHRODINGERS EQUATION; OPTICAL SOLITONS; LAW NONLINEARITIES; POWER-LAW;
D O I：
10.1007/s11071-016-2621-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we consider the Biswas-Milovic equation. By using the method of dynamical systems, we obtain bifurcations of the phase portraits of the traveling wave system under different parameter conditions. Corresponding to some special level curves, we derive possible exact explicit parametric representations of solutions (including solitary wave solutions, kink and anti-kink wave solutions, periodic wave solutions and compactons) under different parameter conditions.
引用
收藏
页码：1973 / 1987
页数：15
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