| Generalized Zakharov-Kuzentsov方程的类孤子新解 |
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| 引用本文： | 套格图桑,伊丽娜.Generalized Zakharov-Kuzentsov方程的类孤子新解[J].量子电子学报,2015,32(3):290-300. |
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| 作者姓名： | 套格图桑 伊丽娜 |
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| 作者单位： | 内蒙古师范大学数学科学学院,内蒙古 呼和浩特 010022 |
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| 基金项目： | 国家自然科学基金(11361040);内蒙古自治区高等学校科学研究基金(NJZY12031);内蒙古自治区自然科学基金(2010MS0111)资助课题 |
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| 摘 要： | 通过两个步骤,构造了Generalized Zakharov-Kuzentsov方程的无穷序列类孤子新解. 第一步、利用首次积分与函数变换,把一种非线性常微分方程转化为几种常用的辅助方程,并获得了几种常用辅助方程的新解、B\"{a}cklund变换和解的非线性叠加公式. 第二步、借助一系列的变换与符号计算系统~Mathematica,构造了Generalized Zakharov-Kuzentsov方程的无穷序列类孤子新解.
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| 关 键 词： | 辅助方程 首次积分 类孤子新解 |
| 收稿时间： | 2014-05-19 |
| 修稿时间： | 2014-06-08 |
New soliton-like solution of generalized Zakharov-Kuzentsov equation |
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| Taogetusang
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YI Lina.New soliton-like solution of generalized Zakharov-Kuzentsov equation[J].Chinese Journal of Quantum Electronics,2015,32(3):290-300. |
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| Authors: | Taogetusang YI Lina |
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| Affiliation: | College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022 |
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| Abstract: | By two steps, the paper structures the new infinite sequence soliton-like solution of the Generalized Zakharov-Kuzentsov equation. First, using the trick of the first integral and functional transformation, a kind of nonlinear ordinary differential equation is changed to some kinds of common auxiliary equations, and the new solutions of some common auxiliary equations, the Bäcklund transformation and the nonlinear superposition formula of solutions are obtained. Second, with the help of a sequence of transformations and the symbolic computation system Mathematic, the paper structures the new infinite sequence soliton-like solution of the Generalized Zakharov-Kuzentsov equation. |
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| Keywords: | nonlinear equations first integral B(a)cklund transformation new soliton-like solution |
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