| 一类五阶非线性演化方程的广义孤立波解和周期解 |
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| 引用本文： | 刘常福,戴正德.一类五阶非线性演化方程的广义孤立波解和周期解[J].西南农业大学学报,2010,32(1). |
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| 作者姓名： | 刘常福 戴正德 |
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| 作者单位： | 云南文山学院数学系;云南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10361007,10661002); 云南省自然科学基金资助项目(2004A0001M) |
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| 摘 要： | 应用指数函数法,借助计算机代数系统获得了包括五阶KdV方程、Sawada-Kotera方程和Kaup-Kupershmit方程在内的一类五阶非线性演化方程的广义孤立波解和周期解.结果表明,指数函数法结合符号计算已成为解决数学物理中非线性演化方程的强有力工具.
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| 关 键 词： | 五阶非线性演化方程 指数函数法 广义孤立波解 周期解 |
Generalized Solitary Wave Solutions and Periodic Solutions for a Class of Fifth-Order Nonlinear Evolution Equations |
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| LIU Chang-fu,DAI Zheng-de.Generalized Solitary Wave Solutions and Periodic Solutions for a Class of Fifth-Order Nonlinear Evolution Equations[J].Journal of Southwest Agricultural University,2010,32(1). |
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| Authors: | LIU Chang-fu DAI Zheng-de |
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| Institution: | LIU Chang-fu1,DAI Zheng-de21.Department of Mathematics,Wenshan University,Wenshan Yunnan 663000,China,2.School of Mathematics , Statistics,Yunnan University,Kunming 650091 |
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| Abstract: | In this paper,the exp-function method is used to obtain generalized solitary wave solutions and periodic solutions for a class of fifth-order nonlinear evolution equations,which include different forms of fifth-order KdV equations,Sawada-Kotera equations and Kaup-Kupershmit equations.The results show that the exp-function method,with the help of symbolic computation,provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. |
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| Keywords: | fifth-order nonlinear evolution equation exp-function method generalized solitary wave solution periodic solution |
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