Exact Solutions for the Modified KdV and the Generalized KdV Equations via Exp-Function Method

Authors

  • Jalil Manafian Heris
  • Majid Bagheri

DOI:

https://doi.org/10.30495/jme.v0i0.71

Keywords:

Exp-function method, modified KdV equation, generalized KdV equation, periodic wave and solitary wave solutions, nonlinear partial differential equations (NLPDEs).

Abstract

An application of the Exp-function method (EFM) to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for the modified KdV equation and the generalized KdV equation. The EFM was used to construct peri- odic wave and solitary wave solutions of nonlinear evolution equations (NLEEs). This method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that the Exp-function method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear evolution equations in mathematical physics and applied mathematics.

Author Biographies

Jalil Manafian Heris

Department of Mathematics Ph.D. student of Mathematics Islamic Azad University-Ahar Branch Ahar, Iran

Majid Bagheri

Department of Mathematics Instructor of Mathematics Islamic Azad University-Ahar Branch Ahar, Iran

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Published

2010-04-02

Issue

Vol 4 (2009-2010)

Section

Vol. 4, No. 2 (2010)

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