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Transactions: WSEAS TRANSACTIONS ON COMPUTERS
Transactions ID Number: 89-687
Full Name: Bin Zheng
Position: Educator
Age: ON
Sex: Female
Address: School of Science,Shandong University of Technology,Zhangzhou Road 12#,Zibo,Shandong,China.255049
Country: CHINA
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E-mail address: zhengbin2601@126.com
Other E-mails: fqhua@sina.com
Title of the Paper: Traveling Wave Solutions For The (2+1) Dimensional Boussinesq Equation And The Two-Dimensional Burgers Equation By (G'/G)-expansion method
Authors as they appear in the Paper: Bin Zheng
Email addresses of all the authors: 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 (2+1) dimensional Boussinesq equation and the two-dimensional Burgers 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,(2+1) dimensional Boussinesq equation, two-dimensional Burgers equation,exact solution, evolution equation, nonlinear equation
EXTENSION of the file: .pdf
Special (Invited) Session: Traveling Wave Solution For The (2+1) Dimensional PKP Equation
Organizer of the Session: 633-345
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