dorsal/arxiv
View SchemaSome comments on the bi(tri)-Hamiltonian structure of Generalized AKNS and DNLS hierarchies
| Authors | H. S. Blas Achic, L. A. Ferreira, J. F. Gomes, A. H. Zimerman |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9701012 |
| URL | https://arxiv.org/abs/solv-int/9701012 |
| DOI | 10.1016/S0375-9601(97)00865-7 |
| Journal | Phys.Lett. A237 (1998) 225-233 |
Abstract
We give the correct prescriptions for the terms involving the inverse of the derivative of the delta function, in the Hamiltonian structures of the AKNS and DNLS systems, in order for the Jacobi identities to hold. We also establish that the sl(2) AKNS and DNLS systems are tri-Hamiltonians and construct two compatible Hamiltonian structures for the sl(3) AKNS system. We also give a derivation of the recursion operator for the sl(n+1) DNLS system.
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"abstract": "We give the correct prescriptions for the terms involving the inverse of the\nderivative of the delta function, in the Hamiltonian structures of the AKNS and\nDNLS systems, in order for the Jacobi identities to hold. We also establish\nthat the sl(2) AKNS and DNLS systems are tri-Hamiltonians and construct two\ncompatible Hamiltonian structures for the sl(3) AKNS system. We also give a\nderivation of the recursion operator for the sl(n+1) DNLS system.",
"arxiv_id": "solv-int/9701012",
"authors": [
"H. S. Blas Achic",
"L. A. Ferreira",
"J. F. Gomes",
"A. H. Zimerman"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(97)00865-7",
"journal_ref": "Phys.Lett. A237 (1998) 225-233",
"title": "Some comments on the bi(tri)-Hamiltonian structure of Generalized AKNS and DNLS hierarchies",
"url": "https://arxiv.org/abs/solv-int/9701012"
},
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