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A Novel Hierarchy of Integrable Lattices

I. Merola·O. Ragnisco·Tu Gui Zhang
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Abstract

In the framework of the reduction technique for Poisson-Nijenhuis structures, we derive a new hierarchy of integrable lattice, whose continuum limit is the AKNS hierarchy. In contrast with other differential-difference versions of the AKNS system, our hierarchy is endowed with a canonical Poisson structure and, moreover, it admits a vector generalisation. We also solve the associated spectral problem and explicity contruct action-angle variables through the r-matrix approach.

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I. Merola, O. Ragnisco, Tu Gui Zhang. 1994-01-25. A Novel Hierarchy of Integrable Lattices. https://doi.org/10.1088/0266-5611%2F10%2F6%2F009

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