Darboux Coverings and Rational Reductions of the KP Hierarchy

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dc.creatorCasati, Paolo
dc.creatorFalqui, Gregorio
dc.creatorMagri, Franco
dc.creatorPedroni, Marco
dc.date1996-10-01
dc.date.accessioned2026-07-07T09:17:55Z
dc.date.available2026-07-07T09:17:55Z
dc.descriptionWe use the method of Darboux coverings to discuss the invariant submanifolds of the KP equations, presented as conservation laws in the space of monic Laurent series in the spectral parameter (the space of the Hamiltonian densities). We identify a special class of these submanifolds with the rational invariant submanifolds entering matrix models of $2D$--gravity, recently characterized by Dickey and Krichever. Four examples of the general procedure are provided.
dc.description16 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/solv-int/9610002
dc.identifierhttp://arxiv.org/abs/solv-int/9610002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153841
dc.subjectExactly Solvable and Integrable Systems
dc.titleDarboux Coverings and Rational Reductions of the KP Hierarchy
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