Thursday, 30 June 2011

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-855
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: Comparsion between the (G G)ô€€€ expansion method and the tanh- method
Authors as they appear in the Paper: Elsayed M.E.Zayed
Email addresses of all the authors: e.m.e.zayed@hotmail.com
Number of paper pages: 17
Abstract: n the present article, we construct the exact traveling wave solutions of nonlinear PDEs in the mathematical physics via the (1+1)- dimensional Boussinesq equation by using the following two methods: (i) A further improved (G G)􀀀 expansion method, where G = G() satis…es the auxiliary ordinary di¤erential equation [G0()]2 = aG2()+ bG4() + cG6(); where  = x 􀀀 V t while a; b; c and V are constants. (ii) The well known extended tanh- function method. We show that some of the exact solutions obtained by these two methods are equivalent. Note that the …rst method (i) has not been used by anyone before which gives more exact solutions than the second method (ii
Keywords: Further improved (G G)- expansion method, Auxiliary equation, Extended tanh- function method, Traveling wave solutions, The Boussinesq equation .
EXTENSION of the file: .pdf
Special (Invited) Session: -
Organizer of the Session: -
How Did you learn about congress: Nonlinear PDEs,Math.Phys,Computer, Nonlinear ODEs,
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