(2+2)-Dimensional Discrete Soliton Equations and Integrable Coupling System
Yu Fa-Jun; Li Li; Yu Fa-Jun; School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China; Li Li; School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China
Журнал:
Communications in Theoretical Physics
Дата:
2010-05-15
Аннотация:
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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