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

Nonlinear engineering: Modeling and application

article

H. Aminikhah¹  B. Pourreza Ziabary¹  H. Rezazadeh¹ 

[1] Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan

关键词: functional variable method;    Homotopy analysis transform method;    partial differential equation;    power-law nonlinearity;   

DOI  :  10.1515/nleng-2015-0005

来源: De Gruyter

【 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.

【 授权许可】

Unknown