Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method

Advances in Difference Equations

Muhammet Kurulay¹ 

[1] Faculty of Art and Sciences, Department of Mathematics, Yildiz Technical University, Davutpasa, İstanbul, Turkey

关键词: the modified Kawahara equation;    homotopy analysis method;   

DOI  :  10.1186/1687-1847-2012-178

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we applied the homotopy analysis method (HAM) to solve the modified Kawahara equation. Numerical results demonstrate that the methods provide efficient approaches to solving the modified Kawahara equation. It is shown that the method, with the help of symbolic computation, is very effective and powerful for discrete nonlinear evolution equations in mathematical physics.

【 授权许可】

CC BY