Bifurcations and exact traveling wave solutions for the regularized Schamel equation

• Published in: Open mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 1699 - 1712
• Main Authors: Cai, Qiue, Tan, Kaixuan, Li, Jiang
• Format: Journal Article
• Language: English
• Published: Warsaw De Gruyter 31.12.2021; De Gruyter Poland
• Subjects: 34C11; 34C23; 34C37; bifurcation method; Bifurcations; Dynamical systems; Hamiltonian functions; phase portraits; regularized Schamel equation; Solitary waves; traveling wave solutions; Traveling waves

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 sa...