Homotopy perturbation method for modified Camassa-Holm and Degasperis-Procesi equations |
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Authors: | Ben-gong Zhang Shao-yong Li Zheng-rong Liu |
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Affiliation: | School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, PR China |
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Abstract: | 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. |
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Keywords: | 34A34 34A45 35B20 58B05 74J35 |
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