Integrable Systems in the Infinite Genus Limit

Simple item page
dc.creatorGesztesy, Fritz
dc.date1999-07-07
dc.date.accessioned2026-07-07T06:17:51Z
dc.date.available2026-07-07T06:17:51Z
dc.descriptionWe provide an elementary approach to integrable systems associated with hyperelliptic curves of infinite genus. In particular, we explore the extent to which the classical Burchnall-Chaundy theory generalizes in the infinite genus limit, and systematically study the effect of Darboux transformations for the KdV hierarchy on such infinite genus curves. Our approach applies to complex-valued periodic solutions of the KdV hierarchy and naturally identifies the Riemann surface familiar from standard Floquet theoretic considerations with a limit of Burchnall-Chaundy curves.
dc.descriptionLaTeX, 24 pages
dc.identifierhttps://arxiv.org/abs/solv-int/9907009
dc.identifierhttp://arxiv.org/abs/solv-int/9907009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94531
dc.subjectExactly Solvable and Integrable Systems
dc.titleIntegrable Systems in the Infinite Genus Limit
dc.typetext

Files

Collections

arXiv