dorsal/arxiv
View SchemaHamiltonian Structures of Generalized Manin-Radul Super KdV and Constrained Super KP Hierarchies
| Authors | Ming-Hsien Tu, Jiin-Chang Shaw |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9812017 |
| URL | https://arxiv.org/abs/solv-int/9812017 |
| DOI | 10.1063/1.532741 |
| Journal | J. Math. Phys. 40 (1999) 3021 |
Abstract
A study of Hamiltonian structures associated with supersymmetric Lax operators is presented. Following a constructive approach, the Hamiltonian structures of Inami-Kanno super KdV hierarchy and constrained modified super KP hierarchy are investigated from the reduced supersymmetric Gelfand-Dickey brackets. By applying a gauge transformation on the Hamiltonian structures associated with these two nonstandard super Lax hierarchies, we obtain the Hamiltonian structures of generalized Manin-Radul super KdV and constrained super KP hierarchies. We also work out a few examples and compare them with the known results.
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"abstract": "A study of Hamiltonian structures associated with supersymmetric Lax\noperators is presented. Following a constructive approach, the Hamiltonian\nstructures of Inami-Kanno super KdV hierarchy and constrained modified super KP\nhierarchy are investigated from the reduced supersymmetric Gelfand-Dickey\nbrackets. By applying a gauge transformation on the Hamiltonian structures\nassociated with these two nonstandard super Lax hierarchies, we obtain the\nHamiltonian structures of generalized Manin-Radul super KdV and constrained\nsuper KP hierarchies. We also work out a few examples and compare them with the\nknown results.",
"arxiv_id": "solv-int/9812017",
"authors": [
"Ming-Hsien Tu",
"Jiin-Chang Shaw"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.532741",
"journal_ref": "J. Math. Phys. 40 (1999) 3021",
"title": "Hamiltonian Structures of Generalized Manin-Radul Super KdV and Constrained Super KP Hierarchies",
"url": "https://arxiv.org/abs/solv-int/9812017"
},
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