dorsal/arxiv
View SchemaA New ``Dual'' Symmetry Structure of the KP Hierarchy
| Authors | H. Aratyn, E. Nissimov, S. Pacheva |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9712012 |
| URL | https://arxiv.org/abs/solv-int/9712012 |
| DOI | 10.1016/S0375-9601(98)00340-5 |
Abstract
A new infinite set of commuting additional (``ghost'') symmetries is proposed for the KP-type integrable hierarchy. These symmetries allow for a Lax representation in which they are realized as standard isospectral flows. This gives rise to a new double-KP hierarchy embedding ``ghost'' and original KP-type Lax hierarchies connected to each other via a ``duality'' mapping exchanging the isospectral and ``ghost'' ``times''. A new representation of 2D Toda lattice hierarchy as a special Darboux-Backlund orbit of the double-KP hierarchy is found and parametrized entirely in terms of (adjoint) eigenfunctions of the original KP subsystem.
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"abstract": "A new infinite set of commuting additional (``ghost\u0027\u0027) symmetries is proposed\nfor the KP-type integrable hierarchy. These symmetries allow for a Lax\nrepresentation in which they are realized as standard isospectral flows. This\ngives rise to a new double-KP hierarchy embedding ``ghost\u0027\u0027 and original\nKP-type Lax hierarchies connected to each other via a ``duality\u0027\u0027 mapping\nexchanging the isospectral and ``ghost\u0027\u0027 ``times\u0027\u0027. A new representation of 2D\nToda lattice hierarchy as a special Darboux-Backlund orbit of the double-KP\nhierarchy is found and parametrized entirely in terms of (adjoint)\neigenfunctions of the original KP subsystem.",
"arxiv_id": "solv-int/9712012",
"authors": [
"H. Aratyn",
"E. Nissimov",
"S. Pacheva"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1016/S0375-9601(98)00340-5",
"title": "A New ``Dual\u0027\u0027 Symmetry Structure of the KP Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9712012"
},
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