| 五阶变系数模型方程新的Jacobi椭圆函数解 |
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| 引用本文： | 陈怀堂,张鸿庆. 五阶变系数模型方程新的Jacobi椭圆函数解[J]. 应用数学, 2003, 16(4): 34-39 |
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| 作者姓名： | 陈怀堂 张鸿庆 |
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| 作者单位： | 1. 大连理工大学应用数学系,辽宁,大连,116024;临沂师范学院数学系,山东,临沂,276005
2. 大连理工大学应用数学系,辽宁,大连,116024 |
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| 基金项目： | ProjectsupportedbytheNationalKeyBasicResearchDevelopmentProjectofChina(GrantNo.198030600)，theNationalScienceFoundationofChina(No.10072013) |
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| 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24种Jacobi椭圆函数解．
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| 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 |
New Jacobi Elliptic Function Solutions of the Fifth Order Model Equation with Variable Coefficients |
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| CHEN Huaitang ,,ZHANG Hongqing $$$$. New Jacobi Elliptic Function Solutions of the Fifth Order Model Equation with Variable Coefficients[J]. Mathematica Applicata, 2003, 16(4): 34-39 |
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| Authors: | CHEN Huaitang ZHANG Hongqing $$$$ |
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| Affiliation: | CHEN Huaitang 1,2,ZHANG Hongqing 1 $$$$ |
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| Abstract: | A 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. |
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| Keywords: | Jacobi elliptic function Periodic solution Solitary wav e solution |
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