| B(a)cklund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. B(a)cklund变换和微分差分方程[J]. 河南师范大学学报(自然科学版), 2006, 34(2): 150-152 |
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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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| 摘 要： | 主要研究构造非线性演化方程的B(a)cklund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B(a)cklund变换.
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| 关 键 词： | B(a)cklund变换 相容性 微分差分方程 |
| 文章编号： | 1000-2367(2006)02-0150-03 |
| 收稿时间： | 2005-12-14 |
| 修稿时间： | 2005-12-14 |
B(a)cklund Transformation and Differential-difference Equation |
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| WANG Jun-min,ZHANG Xin-xiang,ZHANG Li-li. B(a)cklund Transformation and Differential-difference Equation[J]. Journal of Henan Normal University(Natural Science), 2006, 34(2): 150-152 |
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| Authors: | WANG Jun-min ZHANG Xin-xiang ZHANG Li-li |
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| Affiliation: | Department of Computer, Henan University of Finance and Economies, Zhengzhou 450002,China |
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| Abstract: | In this paper, we mainly construct two Backlund 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 Backlund transformations of the nonlinear evolution equation. |
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| Keywords: | Backlund transformation ldifferential-difference equation compatiblity |
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