五阶变系数模型方程新的Jacobi椭圆函数解(英文)  

New Jacobi Elliptic Function Solutions of the Fifth Order Model Equation with Variable Coefficients

作　　者：陈怀堂[1] 张鸿庆[1] 

机构地区：[1]大连理工大学应用数学系

出　　处：《应用数学》2003年第4期34-39,共6页Mathematica Applicata

基　　金：ProjectsupportedbytheNationalKeyBasicResearchDevelopmentProjectofChina(GrantNo.198030600);theNationalScienceFoundationofChina(No.10072013)

摘　　要：我们给出了一种统一的Jacobi椭圆函数方法来构造非线性偏微分方程精确行波解的新方法 .借助于Mathematica ,我们获得了五阶变系数模型方程的 2A generalized Jacobi elliptic function met hod is used for constructing exact travelling wave solutions of nonlinear partial d ifferential equations (PDEs) in a unified way.With the aid of Mathematica,twenty four Jacobi elliptic function solutions are obtained for the fifth order model equation with variable coefficients.

关 键 词：JACOBI椭圆函数 周期解 非线性偏微分方程 精确行波解 模型方程 

分 类 号：O175.29[理学—数学]