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He, Bin; Rui, Weiguo; Chen, Can; Li, Shaolin

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

Appl. Math. Comput. 206, No. 1, 141-149 (2008).
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.

Cited in 12 Documents

MSC:

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

Keywords:

generalized Camassa-Holm equation; peaked compacton; kink-like wave; compacton; peaked solitary wave
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\textit{B. He} et al., Appl. Math. Comput. 206, No. 1, 141--149 (2008; Zbl 1163.35472)
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References:

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