IJPAM: Volume 86, No. 2 (2013)

EXACT SOLUTIONS FOR NONLINEAR PARTIAL
DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

Khaled A. Gepreel1, T.A. Nofal2
1,2Departement of Mathematics
Faculty of Science
Taif University
KINGDOM OF SAUDI ARABIA
1Departement of Mathematice
Faculty of Science
Zagazig University
EGYPT
2Departement of Mathematice
Faculty of Science
Minia University
EGYPT


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 some new exact solutions for some nonlinear partial differential equations via the cubic nonlinear Klein - Gordon equation and the modified Kawahara equation. As a result, new generalized Jacobi elliptic function-like 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 when the balance is positive integer and the balance number is not positive integers.

Received: May 21, 2012

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DOI: 10.12732/ijpam.v86i2.2 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 2