dorsal/arxiv
View SchemaA Novel Hierarchy of Integrable Lattices
| Authors | I. Merola, O. Ragnisco, Tu Gui Zhang |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9401005 |
| URL | https://arxiv.org/abs/solv-int/9401005 |
| DOI | 10.1088/0266-5611/10/6/009 |
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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"abstract": "In the framework of the reduction technique for Poisson-Nijenhuis structures,\nwe derive a new hierarchy of integrable lattice, whose continuum limit is the\nAKNS hierarchy. In contrast with other differential-difference versions of the\nAKNS system, our hierarchy is endowed with a canonical Poisson structure and,\nmoreover, it admits a vector generalisation. We also solve the associated\nspectral problem and explicity contruct action-angle variables through the\nr-matrix approach.",
"arxiv_id": "solv-int/9401005",
"authors": [
"I. Merola",
"O. Ragnisco",
"Tu Gui Zhang"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1088/0266-5611/10/6/009",
"title": "A Novel Hierarchy of Integrable Lattices",
"url": "https://arxiv.org/abs/solv-int/9401005"
},
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