Wednesday 25 May 2011

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-555
Full Name: E.M.E. Zayed
Position: Professor
Age: ON
Sex: Male
Address: Mathematics Department, Faculty of Science, Zagazig University,
Country: EGYPT
Tel: -
Tel prefix: -
Fax: -
E-mail address: e.m.e.zayed@hotmail.com
Other E-mails: eme_zayed@yahoo.com
Title of the Paper: The modified G'/G-expansion method and its applications to construct exact solutions for nonlinear PDEs
Authors as they appear in the Paper: Elsayed M.E.Zayed and K.A Gepreel
Email addresses of all the authors: e.m.e.zayed@hotmail.com, kagepreel@yahoo.com
Number of paper pages: 23
Abstract: In the present article, we construct the traveling wave solutions involving parameters of some nonlinear PDEs; namely the nonlinear Klein - Gordon equations, the nonlinear reaction- diffusion equation, the nonlinear modified Burgers equation and the nonlinear Eckhaus equation by using the modified ( G´ G )- expansion method, where G satisfies a second order linear ordinary differential equation. When these parameters are taken special values, the solitary waves are derived from the traveling waves. The traveling waves solutions are expressed by hyperbolic, trigonometric and the rational functions. Keywords: The modified ( G´ G ) -expansion method, Traveling wave solutions, Solitary wave solutions, Klein Gordon equations, The reaction- diffusion equation, The modified Burgers equation, The Eckhaus equations. 1
Keywords: The Modified G/G-expansin method,Nonlinear PDEs,exact solutions
EXTENSION of the file: .pdf
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How Did you learn about congress: Nonlinear PDEs,Math.Phys,Computer, Nonlinear ODEs,
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