A generalized cubic Volterra lattice hierarchy and its integrable couplings system

Tiecheng Xia, Fucai You and Dengyuan Chen

Chaos, Solitons & Fractals, 2006, vol. 27, issue 1, 153-158

Abstract: In terms of properties of the known loop algebra A∼1 and difference operators, a new algebraic system χ is constructed. By using the algebraic system χ, a discrete matrix spectral problem is introduced and a hierarchy of nonlinear lattice equations is derived. From the hierarchy the celebrated cubic Volterra lattice equation is engendered. We call the hierarchy a generalized cubic Volterra hierarchy. Then an extended algebraic system χ˜ of χ is presented, from which the integrable couplings system of the generalized cubic Volterra lattice are obtained.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:1:p:153-158

DOI: 10.1016/j.chaos.2005.02.044

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