International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

New exact Jacobi elliptic solutions for the generalized time-dependent variable coefficients KdV- mKdV equation

Khaled A. Gepreel1,2* and J. F. Alzaidy3
  1Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt. 2Mathematics Department, Faculty of Science, Taif University, Kingdom of Saudi Arabia. 3Mathematics Department, Faculty of Science, Shaqra University, Kingdom of Saudi Arabia.  
Email: [email protected]

  •  Accepted: 03 July 2012
  •  Published: 12 July 2012

Abstract

 

In this article, we use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method with computerized symbolic computation to construct more new exact solutions of a generalized time-dependent variable coefficients KdV- mKdV equation. As a result, new generalized Jacobi elliptic function-like solutions, soliton-like solutions and trigonometric function solutions are obtained by using this method. This method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.

 

Key words: Exact solutions, generalized time-dependent variable coefficients KdV- mKdV equation, improved general mapping deformation method, Jacobi elliptic functions.

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This article is published under the terms of the Creative Commons Attribution License 4.0

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