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New peaked solitary wave solutions of the generalized Camassa-Holm equation. (English) Zbl 1068.35123
Summary: We consider generalized Camassa-Holm equations and the generalized weakly dissipative Camassa-Holm equations and derive some new exact peaked solitary wave solutions. For $m=3$, where $m$ is a representative of the strength of the nonlinearity, we give two types new exact traveling wave solutions of the generalized weakly dissipative Camassa-Holm equations.

MSC:
 35Q51 Soliton-like equations 35Q53 KdV-like (Korteweg-de Vries) equations
Full Text:
References:
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