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Homotopy perturbation method for modified Camassa-Holm and Degasperis-Procesi equations. (English) Zbl 1220.34010
Summary: In this Letter, homotopy perturbation method (HPM) is directly applied to modified Camassa-Holm and Degasperis-Procesi equations to obtain their solitary wave solutions. The results show the applicability, accuracy and efficiency of HPM in solving nonlinear differential equations with fully nonlinear dispersion term. It is predicted that HPM can be widely applied in engineering problems.
MSC:
34A34Nonlinear ODE and systems, general
34A45Theoretical approximation of solutions of ODE
35B20Perturbations (PDE)
58B05Topological questions of infinite-dimensional manifolds
74J35Solitary waves (solid mechanics)
35Q51Soliton-like equations