THE EXACT SOLUTIONS OF GENERALIZED ZAKHAROV EQUATIONS WITH HIGH ORDER SINGULAR POINTS AND ARBITRARY POWER NONLINEARITIES

被引：0

作者：

Chen, Zhenxing ^{[1
]}

Wei, Huifang ^{[2
]}

Luo, Zhaofu ^{[2
]}

Chen, Longwei ^{[2
]}

机构：

[1] Yunnan Univ Finance & Econ, Kunming Univ Sci & Technol, Informat Sch, Fac Land Source Engn, Kunming 650092, Yunnan, Peoples R China

[2] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650021, Yunnan, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2016年 / 6卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Generalized Zakharov system; solitary wave solution; kink wave solution; periodic wave solution; bifurcation; WAVE-EQUATIONS;

D O I：

10.11948/2016057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we using bifurcation theory method of dynamical systems to find the exact solutions of generalized Zakharov equations with high order singular points and arbitrary power nonlinearities. Under different parameter conditions, we obtain exact solitary wave solutions, periodic wave solutions as well as kink and anti-kink wave solutions.

引用

页码：884 / 892

页数：9

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