ANALYTICAL TREATMENT OF SOME PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS BY USING THEExp-FUNCTION METHOD-Reference-Cited by-同舟云学术

ANALYTICAL TREATMENT OF SOME PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS BY USING THEExp-FUNCTION METHOD

Published:2011-09-10 Issue:22 Volume:25 Page:2965-2981
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

DEHGHAN MEHDI¹,MANAFIAN JALIL¹,SAADATMANDI ABBAS²

Affiliation:

1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No.424, Hafez Avenue, Tehran 15914, Iran

2. Department of Mathematics, Faculty of Science, University of Kashan, Kashan, Iran

Abstract

The Exp -function method with the aid of symbolic computational system can be used to obtain the generalized solitary solutions and periodic solutions for nonlinear evolution equations arising in mathematical physics. In this paper, we study the analytic treatment of the Zakharov–Kuznetsov (ZK) equation, the modified ZK equation, and the generalized forms of these equations. Exact solutions with solitons and periodic structures are obtained.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021797921110148X

Reference49 articles.

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3. Application of Exp-function method for (3+1)-dimensional nonlinear evolution equations

4. Approximate analytical solution for the Zakharov–Kuznetsov equations with fully nonlinear dispersion

5. Solitons and periodic solutions for the fifth-order KdV equation with the Exp-function method

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