| Exact travelling wave solutions for （1＋ 1）-dimensional dispersive long wave equation |
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| 引用本文： | 刘成仕.Exact travelling wave solutions for （1＋ 1）-dimensional dispersive long wave equation[J].中国物理 B,2005,14(9):1710-1715. |
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| 作者姓名： | 刘成仕 |
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| 作者单位： | Department of Mathematics, Daqing Petroleum Institute, Daqing 163318, China |
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| 摘 要： | A complete discrimination system for the fourth order polynomial is given. As an application, we have reduced a （1＋1）-dimensional dispersive long wave equation with general coefficients to an elementary integral form and obtained its all possible exact travelling wave solutions including rational function type solutions, solitary wave solutions, triangle function type periodic solutions and Jacobian elliptic functions double periodic solutions. This method can be also applied to many other similar problems.
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| 关 键 词： | 行波解 空间分散 长波方程 积分方程 |
| 文章编号： | 1009-1963/2005/14（09）/1710-06 |
| 收稿时间： | 2004-12-24 |
| 修稿时间： | 2004-12-242005-05-13 |
Exact travelling wave solutions for (1+1)-dimensional dispersive long wave equation |
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| Liu Cheng-Shi.Exact travelling wave solutions for (1+1)-dimensional dispersive long wave equation[J].Chinese Physics B,2005,14(9):1710-1715. |
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| Authors: | Liu Cheng-Shi |
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| Institution: | Department of Mathematics, Daqing Petroleum Institute, Daqing 163318, China |
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| Abstract: | A complete discrimination system for the fourth order polynomial is given.As an application, we have reduced a (1+1)-dimensional dispersive long wave equation with general coefficients to an elementary integral form and obtained its all possible exact travelling wave solutions including rational
function type solutions, solitary wave solutions, triangle function type periodic solutions and Jacobian elliptic functions double periodic solutions. This method can be also applied to many other similar problems. |
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| Keywords: | complete discrimination system for polynomial (1+1)-dimensional dispersive long wave equation travelling wave solution |
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