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

A novel hierarchy of integrable lattices,

MEROLA, IMMACOLATA;
1994

Abstract

In the framework of the reduction technique for Poisson-Nijenhuis structures, we derive a new hierarchy of integrable lattices, whose continuum limit is the AKNS hierarchy. In contrast to other differential-difference versions of the AKNS system, our hierarchy is endowed with a canonical Poisson structure and, moreover, it admits a vector generalization. We also solve the associated spectral problem and explicity construct action-angle variables through the r-matrix approach.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/14508
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