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Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations. (English) Zbl 1187.35199

Summary: Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations are developed. Unlike the standard Degasperis-Procesi and Camassa-Holm equations, where multi-peakon solutions arise, the modification caused a change in the characteristic of these peakon solutions and changed it to bell-shaped solitons. The tanh method and the sine-cosine method are used to achieve this goal.

MSC:

35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
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