Bifurcations and exact traveling wave solutions for the regularized Schamel equation

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...

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 1699 - 1712
Main Authors Cai, Qiue, Tan, Kaixuan, Li, Jiang
Format Journal Article
LanguageEnglish
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
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Summary: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.
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ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0136