Correspondence theorems for hierarchies of equations of pseudo-spherical type

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dc.creatorReyes, Enrique G.
dc.date2002-12-19
dc.date.accessioned2026-07-07T05:34:28Z
dc.date.available2026-07-07T05:34:28Z
dc.descriptionHierarchies of evolution equations of pseudo-spherical type are introduced, generalizing the notion of a single equation describing pseudo-spherical surfaces due to S.S. Chern and K. Tenenblat, and providing a connection between differential geometry and the study of hierarchies of equations which are the integrability condition of $sl(2,{\bf R})$--valued linear problems. As an application, it is shown that there exists a local correspondence between any two (suitably generic) solutions of arbitrary hierarchies of equations of pseudo-spherical type.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/nlin/0212044
dc.identifierhttp://arxiv.org/abs/nlin/0212044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80381
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleCorrespondence theorems for hierarchies of equations of pseudo-spherical type
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