Solving generalized Burgers equation with variable coefficients by (G'/G) -expansion method

Abstract

Abstract:

In recent years, nonlinear evolution equations with variable coefficients received more and more attention. (G'/G) -expansion method, a new method put forward by Wang Ming-liang et.al in 2008 was applied to the nonlinear evolution equtions with variable coefficients for the first time. The generalized Burgers equation with variable coefficient was taken as an example, and new exact solutions were obtained successfully when the coefficient meets the controlled conditions. Then we try to improve this expansion method, the new solution of generalized Burgers equation with variable coefficients can be obtained successfully once again. It is proved that this expansion method is not only easy when solving nonlinear evolution equations with constant coefficients but also is very efficient, concise and practical when solving the nonlinear evolution equations with variable coefficients, and it also has a broad application.

Key words: nonlinear evolution equations, exact solution, generalized Burgers equation with variable coefficient

CLC Number:

O175.29

PANG Jing, JIN Ling-hua，YING Xiao-mei. Solving generalized Burgers equation with variable coefficients by (G'/G) -expansion method[J]. J4, 2011, 28(6): 674-681.

References

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Solving generalized Burgers equation with variable coefficients by (G'/G) -expansion method

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