Homotopy perturbation method for modified Camassa–Holm and Degasperis–Procesi equations

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.