| 一族可积孤子方程的Darboux变换与类孤子解 |
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| 引用本文： | 孙业朋,徐西祥.一族可积孤子方程的Darboux变换与类孤子解[J].中国海洋大学学报(自然科学版),2003,33(5):809-814. |
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| 作者姓名： | 孙业朋 徐西祥 |
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| 作者单位： | 山东科技大学基础部,泰安,271019 |
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| 摘 要： | 本文利用新的等谱特征值问题 ,首先为 1类耦合的非线性演化方程建立了 1个具有多个参数的 N-波 Darboux变换。通过约化 ,得到了 1族可积孤子方程的 Darboux变换。作为应用 ,获得了该孤子方程的类孤子解 ,并借助 Mathematica软件画出了其中 1个新解的图形
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| 关 键 词： | Darboux变换 孤子方程 类孤子解 计算机代数系统Mathematica |
| 文章编号： | 1001-1862(2003)05-809-06 |
| 修稿时间： | 2002年6月30日 |
Darboux Transformation and Soliton-Like Solutions for a Hierarchy of Integrable Soliton Equations |
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| Sun,Yepeng,Xu,Xixiang.Darboux Transformation and Soliton-Like Solutions for a Hierarchy of Integrable Soliton Equations[J].Periodical of Ocean University of China,2003,33(5):809-814. |
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| Authors: | Sun Yepeng Xu Xixiang |
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| Abstract: | An explicit N fold Darboux transformation with mu lt i parameters for a kind of coupled nonlinear evolution equation is constructed with the help of a new spectral problem. By means of reduction, the Darboux tra nsformations of a hierarchy of integrable equations are obtained. Furthermore,th e soliton like solutions of the equation are given by applying its Darboux tran sformation. With the help of Mathematica, the plots of one of these solutions ar e given. |
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| Keywords: | Darboux transformation soliton equation soliton like solution computer algebra system mathematica |
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