Exact travelling wave solutions of a generalized Camassa-Holm equation using the integral bifurcation method. (English) Zbl 1163.35472

Summary: A generalized Camassa-Holm equation is studied by using the integral bifurcation method. Many travelling waves such as peaked compacton, compacton, peaked solitary wave, solitary wave and kink-like wave are found. In some parameter conditions, exact parametric representations of these travelling waves in explicit form and implicit form are obtained.


35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
35A30 Geometric theory, characteristics, transformations in context of PDEs
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