| （2＋2）-Dimensional Discrete Soliton Equations and Integrable Coupling System |
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| 作者姓名： | YU Fa-Jun LI Li |
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| 作者单位： | School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China |
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| 基金项目： | Supported by the Research Work of Liaoning Provincial Development of Education under Grant No. 2008670 ,Acknowledgement The author Fa-Jun Yu would like to express his sincere thanks to referees for his enthusiastic guidance and help. |
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| 摘 要： | In this paper, we extend a （2＋2）-dimensional continuous zero curvature equation to （2＋2）-dimensional discrete zero curvature equation, then a new （2＋2）-dimensional cubic Volterra lattice hierarchy is obtained. Fhrthermore, the integrable coupling systems of the （2＋2）-dimensional cubic Volterra lattice hierarchy and the generalized Toda lattice soliton equations are presented by using a Lie algebraic system sl（4）.
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| 关 键 词： | 可积耦合系统 晶格孤子方程 Volterra型 离散 零曲率方程 立方晶格 层次结构 代数系统 |
| 收稿时间： | 2009-05-21 |
(2+2)-Dimensional Discrete Soliton Equations and Integrable Coupling System |
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| YU,Fa-Jun LI,Li.(2+2)-Dimensional Discrete Soliton Equations and Integrable Coupling System[J].Communications in Theoretical Physics,2010,53(5):793-798. |
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| Authors: | YU Fa-Jun and LI Li |
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| Institution: | School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China |
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| Abstract: | In this paper, we extend a (2+2)-dimensional continuous zero curvature equation to (2+2)-dimensional discrete zero curvature equation, then a new (2+2)-dimensional cubic Volterra lattice hierarchy is obtained. Furthermore, the integrable coupling systems of the (2+2)-dimensional cubic Volterra lattice hierarchy and the generalized Toda lattice soliton equations are presented by using a Lie algebraic system sl(4). |
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| Keywords: | discrete soliton hierarchy integrable couplings generalized Toda equation cubic Volterra lattice equation |
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