Exact solitary-wave Special Solutions for the Nonlinear Dispersive K(m,n) Equations by Means of the Homotopy Analysis Method

被引：0

作者：

Yildirim, Ahmet ^{[1
]}

Unlu, Canan ^{[2
]}

Mohyud-Din, Syed Tauseef ^{[3
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

[2] Istanbul Univ, Dept Math, TR-34134 Istanbul, Turkey

[3] HITEC Univ Taxila, Cantt, Pakistan

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2010年

关键词：

Homotopy analysis method; nonlinear dispersive K(m; n); equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the nonlinear dispersive K(m, n) equations which exhibit solutions with solitary patterns. New exact solitary solutions are found. The two special cases, K(2, 2) and K(3, 3), are chosen to illustrate the concrete features of the homotopy analysis method in K(m, n) equations. The nonlinear equations K(m, n) are studied for two different cases, namely when m = n being odd and even integers. General formulas for the solutions of K(m, n) equations are established.

引用

页码：82 / 93

页数：12

共 15 条

[1] Homotopy analysis method for heat radiation equations [J].