From bell-shaped solitary wave to W/M-shaped solitary wave solutions in an integrable nonlinear wave equation

Pramana

Chunhai Li¹  Aiyong Chen1 2³  Yuanduo Zhang²  Jibin Li³ 

[1] School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People’s Republic of China$$;Foundation Department, Southwest Forestry University, Kunming, Yunnan, 650224, People’s Republic of China$$;Center of Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan, 650093, People’s Republic of China$$

关键词: Bifurcation method;    periodic wave solution;    solitary wave solution;    W/M- shaped solitary wave solutions.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The bifurcation theory of dynamical systems is applied to an integrable non-linear wave equation. As a result, it is pointed out that the solitary waves of this equation evolve from bell-shaped solitary waves to W/M-shaped solitary waves when wave speed passes certain critical wave speed. Under different parameter conditions, all exact explicit parametric representations of solitary wave solutions are obtained.

【 授权许可】

Unknown