An improved (G′/G)-expansion method for solving nonlinear evolution equations

Abstract

An improved (G′/G)-expansion method is proposed to seek more general travelling wave solutions of nonlinear evolution equations. We choose the Zakharov–Kuznetsov–BBM (Benjamin–Bona–Mahony) equation and the (2+1)-dimensional dispersive long wave equations to illustrate the validity and advantages of the proposed method. As a result, many exact travelling wave solutions are obtained, which include soliton, hyperbolic function, trigonometric function and rational, solutions.

Keywords:

• improved (G′/G)-expansion method
• exact solutions
• nonlinear evolution equations
• Zakharov–Kuznetsov–BBM equation
• (2+1)-dimensional dispersive long wave equations

2000 AMS Subject Classification :

• 74G05

Acknowledgements

The authors would like to express their sincere thanks to the referees for their helpful suggestion. This work is supported by the Natural Science Foundation of Educational Committee of Liaoning Province of China.