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Extended proposed algorithm with symbolic computation to construct exact solutions for some nonlinear differential equations
Faculty
Science
Year:
2009
Type of Publication:
Article
Pages:
436-452
Authors:
Gepreel, Khaled A, Zayed, E. M. E, El Horbaty, M. M
DOI:
10.1016/j.chaos.2007.07.095
Journal:
CHAOS SOLITONS \& FRACTALS PERGAMON-ELSEVIER SCIENCE LTD
Volume:
40
Research Area:
Mathematics; Physics
ISSN
ISI:000266190700049
Keywords :
Extended proposed algorithm with symbolic computation
Abstract:
In this paper an algebraic method is devised to construct uniformly a series of complete exact Solutions for some nonlinear differential equations. For illustration, we apply the extended proposed method to revisit the nonlinear coupled physical system, the nonlinear variant Buossinesq equations (I), (II) and Hirota-Satsuma coupled KdV nonlinear equations. We construct Successfully a series of new exact solutions including the soliton Solutions and elliptic doubly periodic solutions with the aid of computerized symbolic computation. (C) 2007 Elsevier Ltd. All rights reserved.
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