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

作者：Zhang Jiao^*; Jiang Fengli; Zhao Xiaoying

来源：International Journal of Computer Mathematics, 2010, 87(8): 1716-1725.

DOI：10.1080/00207160802450166

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

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.

• 出版日期2010
• 单位辽宁石油化工大学; 沈阳工程学院