A discrete iso-spectral problem with positive and negative hierarchies and integrable coupling system

Haiyong Ding, Peng Hua, Junben Zhang and Hongye Chen

Chaos, Solitons & Fractals, 2009, vol. 39, issue 4, 1497-1503

Abstract: Two hierarchies of integrable positive and negative nonlinear lattice systems are derived from a discrete iso-spectral problem. When the Lax operators are expanded by virtue of the positive and negative power expansion with respect to the spectral parameter, we get the corresponding integrable hierarchies. Moreover, a direct matrix spectral method is used to get the associated integrable coupling system of the first resulting hierarchy.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:4:p:1497-1503

DOI: 10.1016/j.chaos.2007.06.033

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