A New General Algebraic Method and Its Application to Shallow Long Wave Approximate Equations

A New General Algebraic Method and Its Application to Shallow Long Wave Approximate

Equations

佚名

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2007(048)011

【摘要】A new general algebraic method is presented to uniformly construct a series of exact solutions for nonlinear evolution equations (NLEEs). For illustration, we apply the new method to shallow long wave approximate equations and successfully obtain abundant new exact solutions, which include rational solitary wave solutions and rational triangular periodic wave solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics. 【总页数】6页(781-786)

【关键词】new general algebraic method, nonlinear evolution equations, solitary wave solutions 【作者】佚名

【作者单位】Department of Mathematics, Qufu Normal University, Rizhao 276826, China;Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China