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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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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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.
AbstractList 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.
Author Cai, Qiue
Tan, Kaixuan
Li, Jiang
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  email: ljuscc@163.com
  organization: School of Mathematics and Physics, University of South China, Hengyang, 421001, China
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SubjectTerms 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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Title Bifurcations and exact traveling wave solutions for the regularized Schamel equation
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