| 一族Lax可积的格方程,达布变换与守恒律 |
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| 引用本文： | 孙业朋.一族Lax可积的格方程,达布变换与守恒律[J].上海大学学报(英文版),2005,9(6):471-475. |
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| 作者姓名： | 孙业朋 |
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| 作者单位： | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R . China |
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| 基金项目： | Project supported by National Natural Science Fundation of China （Grant No. 10371070） |
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| 摘 要： | 1IntroductionIn recent years , the nonlinear integrable latticeequations have been extensively studied ,such as theAblowitz-Ladik lattice1], the Toda lattice2], thedifferential-difference KdVequation3]and so on4-7].Inthe theory of nonlinear integrable lattice equations ,ani mportant subject is to search for new Lax integrablelattice equations .In addition,several methods for de-termining exact solutions of soliton equations havebeen developed . The Darboux transformation ( DT)method pl…
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| 关 键 词： | Lax可积 格方程 达布变换 守恒律 |
| 文章编号： | 1007-6417（2005）06-0471-05 |
| 收稿时间： | 2004-06-08 |
| 修稿时间： | 2005-01-14 |
Hierarchy of lax integrable lattice equations,darboux transformation and conservation laws |
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| Sun?Ye-peng.Hierarchy of lax integrable lattice equations,darboux transformation and conservation laws[J].Journal of Shanghai University(English Edition),2005,9(6):471-475. |
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| Authors: | Sun Ye-peng |
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| Institution: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China |
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| Abstract: | A discrete isospectral problem and the associated hierarchy of Lax integrable lattice equations were investigated. A Darboux transformation for the discrete spectral problem was found. Finally, an infinite number of conservation laws were given for the corresponding hierarchy. |
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| Keywords: | lattice soliton equation Darboux transformation conservation law |
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