(2+2)-Dimensional Discrete Soliton Equations and Integrable Coupling System

(2+2)-Dimensional Discrete Soliton Equations and Integrable Coupling System

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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）.

作者于发军李丽

机构地区 School of Mathematics and Systematic Sciences

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第5期793-798,共6页 理论物理通讯（英文版）

基金 Supported by the Research Work of Liaoning Provincial Development of Education under Grant No. 2008670

关键词 discrete soliton hierarchy integrable couplings generalized Toda equation cubic Volterra lattice equation 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

分类号 O175 [理学—基础数学]

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Communications in Theoretical Physics

2010年第5期

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(2+2)-Dimensional Discrete Soliton Equations and Integrable Coupling System

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