| 一类微分差分方程的无穷守恒律及Backlund变换 |
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| 引用本文： | 杨潇,王军民. 一类微分差分方程的无穷守恒律及Backlund变换[J]. 数学季刊, 2007, 22(2): 312-316 |
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| 作者姓名： | 杨潇 王军民 |
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| 作者单位： | Department of System Science and Mathematic Zhengzhou University，Department of System Science and Mathematic Zhengzhou University，Zhengzhou 450000 China，Zhengzhou 450000 China |
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| 摘 要： | In this paper, with the help of the Lax representation, we show the existence of infinitely many conservation laws for a differential-difference equation,which is one of the Ladic-Ablowitz hierarchy, and the conservation density and the associated flux are given for- mularlly. We also demonstrate the relation between a continuous partial differential equation and the differential-difference equation, and give Backlund transformation for the former.
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| 关 键 词： | 微分差分方程 无穷守恒律 Backlund变换 松弛表示法 |
| 文章编号： | 1002-0462（2007）02-0312-05 |
| 收稿时间： | 2006-04-30 |
| 修稿时间： | 2006-04-30 |
Infinitely Many Conservation Laws of a Differential-difference Equation and Backlund Transformation |
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| YANG Xiao,WANG Jun-min. Infinitely Many Conservation Laws of a Differential-difference Equation and Backlund Transformation[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(2): 312-316 |
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| Authors: | YANG Xiao WANG Jun-min |
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| Abstract: | In this paper, with the help of the Lax representation, we show the existence of infinitely many conservation laws for a differential-difference equation,which is one of the Ladic-Ablowitz hierarchy, and the conservation density and the associated flux are given for- mularlly. We also demonstrate the relation between a continuous partial differential equation and the differential-difference equation, and give Backlund transformation for the former. |
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| Keywords: | conservation law Lax representation Backlund transformation |
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