dorsal/arxiv
View SchemaExtending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems
| Authors | Wen-Xiu Ma, Maxim Pavlov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9807002 |
| URL | https://arxiv.org/abs/solv-int/9807002 |
| DOI | 10.1016/S0375-9601(98)00555-6 |
Abstract
An analysis of extension of Hamiltonian operators from lower order to higher order of matrix paves a way for constructing Hamiltonian pairs which may result in hereditary operators. Based on a specific choice of Hamiltonian operators of lower order, new local bi-Hamiltonian coupled KdV systems are proposed. As a consequence of bi-Hamiltonian structure, they all possess infinitely many symmetries and infinitely many conserved densities.
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"date_created": "2026-03-02T18:02:51.395000Z",
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"abstract": "An analysis of extension of Hamiltonian operators from lower order to higher\norder of matrix paves a way for constructing Hamiltonian pairs which may result\nin hereditary operators. Based on a specific choice of Hamiltonian operators of\nlower order, new local bi-Hamiltonian coupled KdV systems are proposed. As a\nconsequence of bi-Hamiltonian structure, they all possess infinitely many\nsymmetries and infinitely many conserved densities.",
"arxiv_id": "solv-int/9807002",
"authors": [
"Wen-Xiu Ma",
"Maxim Pavlov"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(98)00555-6",
"title": "Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems",
"url": "https://arxiv.org/abs/solv-int/9807002"
},
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"variant": "snapshot-2026-03-01",
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