Bifurcations and exact traveling wave solutions for the regularized Schamel equation-Reference-Cited by-同舟云学术

Bifurcations and exact traveling wave solutions for the regularized Schamel equation

Published:2021-01-01 Issue:1 Volume:19 Page:1699-1712
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Cai Qiue¹,Tan Kaixuan¹,Li Jiang¹

Affiliation:

1. School of Mathematics and Physics, University of South China , Hengyang , 421001 , China

Abstract

Abstract In the present paper, we focus on studying the bifurcations and the traveling wave solutions (TWSs) for the regularized Schamel equation. Based on the bifurcation method of a dynamical system, a complete phase portrait analysis is given in various parameter conditions and some novel TWSs with the same energy of the Hamiltonian system are discovered. Various significant results on exact expressions of TWSs, including solitary waves, periodic waves, cusp waves, weak kink waves, loop solitons, compactons in different conditions are obtained.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0136/pdf

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