dorsal/arxiv
View SchemaHamiltonian Structures for the Generalized Dispersionless KdV Hierarchy
| Authors | J. C. Brunelli |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9601001 |
| URL | https://arxiv.org/abs/solv-int/9601001 |
| DOI | 10.1142/S0129055X96000378 |
| Journal | Rev.Math.Phys. 8 (1996) 1041-1054 |
Abstract
We study from a Hamiltonian point of view the generalized dispersionless KdV hierarchy of equations. From the so called dispersionless Lax representation of these equations we obtain three compatible Hamiltonian structures. The second and third Hamiltonian structures are calculated directly from the r-matrix approach. Since the third structure is not related recursively with the first two ones the generalized dispersionless KdV hierarchy can be characterized as a truly tri-Hamiltonian system.
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"abstract": "We study from a Hamiltonian point of view the generalized dispersionless KdV\nhierarchy of equations. From the so called dispersionless Lax representation of\nthese equations we obtain three compatible Hamiltonian structures. The second\nand third Hamiltonian structures are calculated directly from the r-matrix\napproach. Since the third structure is not related recursively with the first\ntwo ones the generalized dispersionless KdV hierarchy can be characterized as a\ntruly tri-Hamiltonian system.",
"arxiv_id": "solv-int/9601001",
"authors": [
"J. C. Brunelli"
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"doi": "10.1142/S0129055X96000378",
"journal_ref": "Rev.Math.Phys. 8 (1996) 1041-1054",
"title": "Hamiltonian Structures for the Generalized Dispersionless KdV Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9601001"
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