Application of the homotopy perturbation method to seven-order Sawada–Kotara equations

Journal of Engineering Science and Technology Review

M. Ghorbanzadeh¹  H. Nemati²  F. Noori²  Z. Eskandari³ 

[1] Department of Mechanical Engineering, Ferdowsi University, Mashhad, Iran;Department of Mechanical Engineering, Mazandaran University, Babol, Iran;Faculty of Foreign Language, Qaemshahr Azad University, Qaemshahr, Iran;

关键词: seventh-order Sawada–Kotera equations;    HPM;    partial differential equations;    nonlinear;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this letter we implemented the homotopy perturbation method (HPM) for approximating the solution of the seventh- order Sawada–Kotera (sSK) and a Laxs seventh-order KdV (LsKdV) equations. Comparing the results with exact solutions has led us to significant consequences. The results reveal that the HPM is very effective, simple and convenient to systems of nonlinear equations. It is predicted that the HPM can be found widely applicable in engineering.

【 授权许可】

Unknown