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Li, Ling; Dong, Huanhe

A new integrable lattice hierarchy and its two discrete integrable couplings. (English) Zbl 1159.82313

Mod. Phys. Lett. B 22, No. 24, 2411-2419 (2008).
Summary: Starting from a discrete isospectral problem, a hierarchy of nonlinear Liouville integrable lattice soliton equations are derived. Through enlarging associated spectral problems, two kinds of discrete integrable couplings are constructed for the resulting lattice hierarchy.

MSC:

82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics
35Q51 Soliton equations

Keywords:

lattice soliton equation; discrete isospectral problem; integrable couplings; zero curvature representation
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References:

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