IJPAM: Volume 86, No. 2 (2013)
DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS
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