| Bcklund变换和微分差分方程 |
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| 引用本文： | 王军民,张新祥,张丽丽.Bcklund变换和微分差分方程[J].河南师范大学学报(自然科学版),2006(2). |
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| 作者姓名： | 王军民 张新祥 张丽丽 |
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| 作者单位： | 河南财经学院计算机科学系 郑州450002 |
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| 基金项目： | 河南省自然科学基金资助项目(0311011500) |
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| 摘 要： | 主要研究构造非线性演化方程的Backlund变换的新途径.首先从一个连续的谱问题出发,借助于Lax对的非线性化方法,推导出连续的非线性演化方程,然后应用谱问题的相容性,构造了两个非线性微分差分方程,这两个方程恰好是一个连续的非线性演化方程的Backlund变换.
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| 关 键 词： | Backlund变换 相容性 微分差分方程 |
Bcklund Transformation and Differential-difference Equation |
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| WANG Jun-min,ZHANG Xin-xiang,ZHANG Li-li.Bcklund Transformation and Differential-difference Equation[J].Journal of Henan Normal University(Natural Science),2006(2). |
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| Authors: | WANG Jun-min ZHANG Xin-xiang ZHANG Li-li |
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| Abstract: | In this paper,we mainly construct two Bcklund transformations of the nonlinear evolution equation.Through nonlinearization technique,we get continuous nonlinear evolution equation from the continuous eigenvalue problem,and then we have constructed two differential difference equations with the help of the compatibility,these equations can be as Bcklund transformations of the nonlinear evolution equation. |
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| Keywords: | Bcklund transformation differential-difference equation compatiblity |
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