| 应用(1/G)-展开法求解五阶KdV方程 |
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| 引用本文： | 李灵晓,李二强,王明亮. 应用(1/G)-展开法求解五阶KdV方程[J]. 应用数学, 2011, 24(4): 699-704 |
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| 作者姓名： | 李灵晓 李二强 王明亮 |
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| 作者单位： | 1. 河南科技大学数学与统计学院,河南洛阳,471003
2. 河南科技大学数学与统计学院,河南洛阳471003;兰州大学数学系,甘肃兰州730000 |
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| 基金项目： | the Natural Science Foundation of Education Department of Henan Province of China(2011B110013); the Youth Science Foundation of Henan University of Science and Technology(2008QN026) |
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| 摘 要： | 本篇论文首次提出(1/G) -展开法,用于求解非线性演化方程的行波解.将该法应用于五阶KdV方程的求解,当参数满足一定条件时,该方程可化为Sawada-Kotera (SK)方程、Caudrey-Dodd-Gibbon(CDG)方程、Kaup-Kupershmidt (KK)方程、Lax方程和Ito方程.其解可被表示为...
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| 关 键 词： | (1/G)-展开法 行波解 五阶KdV方程 齐次平衡 |
Application of the (1/G)-expansion Method to the Generalized Fifth Order KdV Equation |
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| LI Lingxiao , LI Erqiang , WANG Mingliang. Application of the (1/G)-expansion Method to the Generalized Fifth Order KdV Equation[J]. Mathematica Applicata, 2011, 24(4): 699-704 |
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| Authors: | LI Lingxiao LI Erqiang WANG Mingliang |
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| Affiliation: | LI Lingxiao1,LI Erqiang1,WANG Mingliang1,2 (1.School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471003,China,2.Department of Mathematics,Lanzhou University,Lanzhou 730000,China) |
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| Abstract: | The (1/G)-expansion method is proposed to find travelling wave solutions of the generalized fifth order KdV equation(fKdV) which can become the Sawada-Kotera(SK) equation,Caudrey-Dodd-Gibbon(CDG) equation,Kaup-Kupershmidt(KK) equation,Lax equation and Ito equation if the coefficients of the fKdV are taken as the different values,respectively.As a result,exact travelling wave solutions expressed by hyperbolic functions and trigonometric functions with two arbitrary constants of the fKdV are obtained provided... |
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| Keywords: | (1/G)-expansion method Travelling wave solution Fifth order KdV equation Homogeneous balance |
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