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.
2000 AMS Subject Classification :
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.