dorsal/arxiv
View SchemaMulti-Component Matrix KP Hierarchies as Symmetry-Enhanced Scalar KP Hierarchies and Their Darboux-B"acklund Solutions
| Authors | Henrik Aratyn, Emil Nissimov, Svetlana Pacheva |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9904024 |
| URL | https://arxiv.org/abs/solv-int/9904024 |
Abstract
We show that any multi-component matrix KP hierarchy is equivalent to the standard one-component (scalar) KP hierarchy endowed with a special infinite set of abelian additional symmetries, generated by squared eigenfunction potentials. This allows to employ a special version of the familiar Darboux-B"acklund transformation techniques within the ordinary scalar KP hierarchy in the Sato formulation for a systematic derivation of explicit multiple-Wronskian tau-function solutions of all multi-component matrix KP hierarchies.
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"abstract": "We show that any multi-component matrix KP hierarchy is equivalent to the\nstandard one-component (scalar) KP hierarchy endowed with a special infinite\nset of abelian additional symmetries, generated by squared eigenfunction\npotentials. This allows to employ a special version of the familiar\nDarboux-B\"acklund transformation techniques within the ordinary scalar KP\nhierarchy in the Sato formulation for a systematic derivation of explicit\nmultiple-Wronskian tau-function solutions of all multi-component matrix KP\nhierarchies.",
"arxiv_id": "solv-int/9904024",
"authors": [
"Henrik Aratyn",
"Emil Nissimov",
"Svetlana Pacheva"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "Multi-Component Matrix KP Hierarchies as Symmetry-Enhanced Scalar KP Hierarchies and Their Darboux-B\"acklund Solutions",
"url": "https://arxiv.org/abs/solv-int/9904024"
},
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"variant": "snapshot-2026-03-01",
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