2016 International Symposium on Nanofluid Heat and Mass Transfer in Textile Engineering and 5th International Symposium on Nonlinear Dynamics

Journal: Nonlinear Science Letters A
(ISSN 2519-9072(Online), ISSN 2076-2275 (Print))          Vol. 1 No. 3
Extended Weierstrass Transformation Method for Nonlinear Evolution Equations
El-Said A. El-Wakil1, Essam M. Abulwafa1,Mohammed A. Abdou1,2
1. Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
2. Faculty of Education for Girls, Physics Department, King Khalid University, Bisha, Saudi Arabia
Abstract: An extended Weierstrass transform method with computerized symbolic computation is used for constructing a class of new exact solutions of nonlinear evolution equations in terms of the Weierstrass elliptic function. The validity and reliability of the method are tested by its application to three nonlinear evolution equations arising in mathematical physics, namely, the (2+1)-dimensional Broer-Kaup-Kupershmidt system, the Whitham-Broer-Kaup equations and (2+1)-dimensional Gardner equation. It is shown that the proposed method provides a very effective and powerful mathematical tool for solving nonlinear evolution equations.

Keywords: Extended Weierstrass transform method; Weierstrass elliptic functions; Nonlinear evolution equations; Symbolic computation method.

Biographical Notes:


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