Exact traveling wave solutions of partial differential equations with power law nonlinearity

被引：7

作者：

Aminikhah, H. ^{[1
]}

Ziabary, B. Pourreza ^{[1
]}

Rezazadeh, H. ^{[1
]}

机构：

[1] Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht,P.C. 41938, Iran

来源：

Nonlinear Engineering | 2015年 / 4卷 / 03期

关键词：

Applied science - Boussinesq equations - Exact traveling wave solutions - Functional variable methods - Mathematical tools - Power-law nonlinearity - Solving nonlinear equations - Trigonometric function solutions;

D O I：

10.1515/nleng-2015-0005

中图分类号：

学科分类号：

摘要：

In this paper, we applied the functional variable method for four famous partial differential equations with power lawnonlinearity. These equations are included the Kadomtsev-Petviashvili, (3+1)-Zakharov-Kuznetsov, Benjamin-Bona-Mahony-Peregrine and Boussinesq equations. Various exact traveling wave solutions of these equations are obtained that include the hyperbolic function solutions and the trigonometric function solutions. The solutions shown that this method provides a very effective, simple and powerful mathematical tool for solving nonlinear equations in various fields of applied sciences. © 2015 Walter de Gruyter GmbH. All rights reserved.

引用

页码：181 / 188