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

被引：12

作者：

Kurulay, Muhammet ^{[1
]}

机构：

[1] Yildiz Tech Univ, Fac Art & Sci, Dept Math, TR-34210 Istanbul, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

the modified Kawahara equation; homotopy analysis method; PERTURBATION METHOD; DIFFERENTIAL-EQUATIONS; SMALL PARAMETERS;

D O I：

10.1186/1687-1847-2012-178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：6

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