B-Class Solitary Waves and Their Persistence Under Kuramoto-Sivashinsky Perturbation
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS(2024)
摘要
In this paper, we study the b-class shallow water equation. We take different bifurcation parameters to consider solitary wave solutions as well as their persistence under singular Kuramoto-Sivashinsky perturbation. We apply phase portrait analysis and the method of geometric singular perturbation theory.
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关键词
Solitary wave,Kuramoto-Sivashinsky Perturbation,B-class equation,Bifurcation
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