Multi-Component Matrix KP Hierarchies as Symmetry-Enhanced Scalar KP Hierarchies and Their Darboux-B"acklund Solutions

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dc.creatorAratyn, Henrik
dc.creatorNissimov, Emil
dc.creatorPacheva, Svetlana
dc.date1999-04-29
dc.date.accessioned2026-07-07T06:17:48Z
dc.date.available2026-07-07T06:17:48Z
dc.descriptionWe 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.
dc.description10 pages, LaTeX209
dc.identifierhttps://arxiv.org/abs/solv-int/9904024
dc.identifierhttp://arxiv.org/abs/solv-int/9904024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94518
dc.subjectExactly Solvable and Integrable Systems
dc.titleMulti-Component Matrix KP Hierarchies as Symmetry-Enhanced Scalar KP Hierarchies and Their Darboux-B"acklund Solutions
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