A Novel Hierarchy of Integrable Lattices

Details A Novel Hierarchy of Integrable Lattices A Novel Hierarchy of Integrable Lattices

1994-01-25

arxiv.org/abs/solv-int/9401005v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex file

Scientific paper

10.1088/0266-5611/10/6/009

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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