Bifurcations and exact traveling wave solutions for the regularized Schamel equation

Open Mathematics

Li Jiang¹  Tan Kaixuan¹  Cai Qiue¹ 

[1] School of Mathematics and Physics, University of South China, Hengyang, 421001, China;

关键词: traveling wave solutions;    phase portraits;    bifurcation method;    regularized schamel equation;    34c11;    34c23;    34c37;   

DOI  :  10.1515/math-2021-0136

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown