International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2574

Full Length Research Paper

Application of He’s Exp-function method and semi-inverse variational principle to equal width wave (EW) and modified equal width wave (MEW) equations

H. A. Ali1, A. Biswas2* and K. R. Raslan3,4
1Department of Mathematics, Faculty of Science, Menoufia University, Shebein El-Koom, Egypt. 2Department of Mathematical Sciences, Delaware University, Dover, DE 19901-2277, USA. 3Community College in Riyadh, King Saud University, Saudi Arabia. 4Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt.
Email: [email protected]

  •  Accepted: 20 January 2012
  •  Published: 09 February 2012

Abstract

In this paper, more recent method, called the Exp-function, is used to find generalized solutions of the important soliton equations which is called equal width wave (EW) and modified equal width wave (MEW) equations. It is shown that the Exp-function method with the help of symbolic computation provides a straight forward and powerful mathematical tool for solving other nonlinear evolution equations arising in mathematical physics. Additionally, this paper studies the EW/MEW equation by the aid of He’s semi-inverse variational principle.

 

AMS codes: 78A60, 37K10, 35Q51, 35Q55.

 

Key words: Exp- function method; semi-inverse variational principle; equal width wave (EW), modified equal width wave (MEW) equations.

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