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

Aminikhah H.; Pourreza Ziabary B.; Rezazadeh H.

doi:10.1515/nleng-2015-0005

Nonlinear Engineering (Sep 2015)

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

Aminikhah H.,
Pourreza Ziabary B.,
Rezazadeh H.

Affiliations

Aminikhah H.: Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan,P.O. Box 1914, P.C. 41938, Rasht, Iran
Pourreza Ziabary B.: Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan,P.O. Box 1914, P.C. 41938, Rasht, Iran
Rezazadeh H.: Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan,P.O. Box 1914, P.C. 41938, Rasht, Iran

DOI: https://doi.org/10.1515/nleng-2015-0005
Journal volume & issue: Vol. 4, no. 3
pp. 181 – 188

Abstract

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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.

Published in Nonlinear Engineering

ISSN: 2192-8010 (Print); 2192-8029 (Online)
Publisher: De Gruyter
Country of publisher: Germany
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: https://www.degruyter.com/view/j/nleng

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