Journal
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
Volume 87, Issue 8, Pages 1716-1725Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160802450166
Keywords
improved (G '/G)-expansion method; exact solutions; nonlinear evolution equations; Zakharov-Kuznetsov-BBM equation; (2+1)-dimensional dispersive long wave equations
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Funding
- Natural Science Foundation of Educational Committee of Liaoning Province of China
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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.
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