一类微分差分方程的无穷守恒律及Backlund变换

数学季刊 ›› 2007, Vol. 22 ›› Issue (2): 312-316.

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一类微分差分方程的无穷守恒律及Backlund变换

Department of System Science and Mathematic Zhengzhou University,Department of System Science and Mathematic Zhengzhou University,,Zhengzhou 450000 China ,Zhengzhou 450000 China

收稿日期:2006-04-30 出版日期:2007-06-30 发布日期:2023-11-07
作者简介:YANG Xiao(1980-),female,native of Xinyang,Henan,Ph.D.,engages in PDE;WANG Jun- min(1972-),male,native of Ruzhou,Henan,Ph.D.,engagee in aoliton and integrable ayatem.
基金资助:
Supported by the NSF of Henan Prevince(062110300)；

Infinitely Many Conservation Laws of a Differential-difference Equation and Backlund Transformation

Department of System Science and Mathematic Zhengzhou University,Department of System Science and Mathematic Zhengzhou University,,Zhengzhou 450000 China ,Zhengzhou 450000 China

Received:2006-04-30 Online:2007-06-30 Published:2023-11-07
About author:YANG Xiao(1980-),female,native of Xinyang,Henan,Ph.D.,engages in PDE;WANG Jun- min(1972-),male,native of Ruzhou,Henan,Ph.D.,engagee in aoliton and integrable ayatem.
Supported by:
Supported by the NSF of Henan Prevince(062110300)；

摘要/Abstract

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.

关键词: conservation law, Lax representation, Backlund transformation

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.

Key words: conservation law, Lax representation, Backlund transformation

中图分类号:

O175.7

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.

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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一类微分差分方程的无穷守恒律及Backlund变换

Infinitely Many Conservation Laws of a Differential-difference Equation and Backlund Transformation

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