Friday 22 January 2010

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 89-369
Full Name: Qinghua Feng
Position: Educator
Age: ON
Sex: Male
Address: School of Science, Shandong University of Technology. Zhangzhou Road 12, Zibo, Shandong, China, 255049
Country: CHINA
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E-mail address: fqhua@sina.com
Other E-mails: zhengbin2601@126.com
Title of the Paper: Traveling Wave Solutions For The Fifth-Order Kdv Equation And The BBM Equation By (G'/G)-expansion method
Authors as they appear in the Paper: Qinghua Feng,Bin Zheng
Email addresses of all the authors: fqhua@sina.com,zhengbin2601@126.com
Number of paper pages: 10
Abstract: In this paper, we demonstrate the effectiveness of the (G'/G)-expansion method by seeking more exact solutions of the fifth-order Kdv equation and the BBM equation. By the method, the two nonlinear evolution equations are separately reduced to non-linear ordinary differential equations (ODE) by using a simple transformation. As a result, the traveling wave solutions are obtained in three arbitrary functions including hyperbolic function solutions, trigonometric function solutions and rational solutions. When the parameters are taken as special values, we also obtain the soliton solutions of the fifth-order Kdv equation. The method appears to be easier and faster by means of a symbolic computation system.
Keywords: (G'/G)-expansion method, Traveling wave solutions, BBM equation, Fifth-order Kdv equation, Exact solution, Evolution equation, Nonlinear equation
EXTENSION of the file: .pdf
Special (Invited) Session: Exact Traveling Wave Solution For The BBM Equation
Organizer of the Session: 629-349
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