推广的(G’/G)展开法求含色散长波方程组的精确解  

The Exact Solutions of Generalized(G'/G)-expansion Method for Long Wave Equations with Dispersion

作　　者：曾娇 崔泽建[2] ZENG Jiao;CUI Zejian(College of Mathematic,Yibin University,Yibin,Sichuan 644007,China;College of Mathematic and Information,China West Normal University,Nanchong,Sichuan 637009,China)

机构地区：[1]宜宾学院数学学院,四川宜宾644007 [2]西华师范大学数学与信息学院,四川南充637009

出　　处：《宜宾学院学报》2020年第6期73-76,103,共5页Journal of Yibin University

基　　金：四川省教育厅自然科学重点项目(09ZA119);宜宾学院校级项目(02180196)。

摘　　要：用推广的(G’/G)展开法求解含色散长波方程组的精确解,讨论了λ^2-4μ在三种不同情形下(即:λ^2-4μ> 0,λ^2-4μ<0,λ^2-4μ=0)的通解,分别得出了该方程组的双曲函数通解、三角函数通解以及有理函数通解,从而丰富了含色散长波方程组的解系.The generalized(G'G)-expansion method was used to obtain the new exact solutions of long wave equations with dispersion.The general solutions ofλ^2-4μin three different cases(i.e.λ^2-4μ>0,λ^2-4μ<0,λ^2-4μ=0)were discussed.The general solutions of hyperbolic functions,trigonometric functions and rational functions were obtained respectively,which enriches the solution systems of long wave equations with dispersion.

关 键 词：(G’/G)展开法 含色散长波方程组 精确解 

分 类 号：O29[理学—应用数学]