A New Analytical Study of Modified Camassa-Holm and Degasperis-Procesi Equations

• 作者: Bewar A. Mahmood Fadhil H. Easif Majeed A. Yousif
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: HOMOTOPY PERTURBATION Method MODIFIED CAMASSA-HOLM EQUATION MODIFIED DEGASPERIS-PROCESI EQUATION
• 年，卷（期）: 2015,（3）
• 页码范围: 267-273
• 页数: 7页
• 分类号: O1

摘要

In this letter, variational homotopy perturbation method (VHPM) has been studied to obtain solitary wave solutions of modified Camassa-Holm and Degasperis-Procesi equations. The results show that the VHPM is suitable for solving nonlinear differential equations with fully nonlinear dispersion term. The travelling wave solution for above equation compared with VIM, HPM, and exact solution. Also, it was shown that the present method is effective, suitable, and reliable for these types of equations.