Dynamical behaviours and exact travelling wave solutions of modified generalized Vakhnenko equation

被引：2

作者：

Xiao, Junjun ^{[1
]}

Feng, Dahe ^{[1
,2
]}

Meng, Xia ^{[1
]}

Cheng, Yuanquan ^{[1
]}

机构：

[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China

[2] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China

来源：

PRAMANA-JOURNAL OF PHYSICS | 2017年 / 88卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Modified generalized Vakhnenko equation; cusped solitons; loop solitons; periodic cusp wave solutions; smooth periodic wave solutions; pseudopeakon solitons; smooth soliton solutions; SOLITON SOLUTION; EVOLUTION;

D O I：

10.1007/s12043-016-1321-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

By using the bifurcation theory of planar dynamical systems and the qualitative theory of differential equations, we studied the dynamical behaviours and exact travelling wave solutions of the modified generalized Vakhnenko equation (mGVE). As a result, we obtained all possible bifurcation parametric sets and many explicit formulas of smooth and non-smooth travelling waves such as cusped solitons, loop solitons, periodic cusp waves, pseudopeakon solitons, smooth periodic waves and smooth solitons. Moreover, we provided some numerical simulations of these solutions.

引用

页数：9

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