Hypergeometric solutions to ultradiscrete Painleve equations

Simple item page
dc.creatorOrmerod, Chris M.
dc.date2006-10-20
dc.date2006-11-24
dc.date.accessioned2026-07-07T07:29:44Z
dc.date.available2026-07-07T07:29:44Z
dc.descriptionWe propose new solutions to ultradiscrete Painlevé equations that cannot be derived using the ultradiscretization method. In particular, we show the third ultradiscrete Painelevé equation possesses hypergeometric solutions. We show this by considering a lift of these equations to a non-archimedean valuation field in which we may relax the subtraction free framework of previous explorations of the area. Using several methods, we derive a family of hypergeometric solutions.
dc.description11 pages, 2 figures, addition of a short proof
dc.identifierhttps://arxiv.org/abs/nlin/0610048
dc.identifierhttp://arxiv.org/abs/nlin/0610048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118227
dc.subjectExactly Solvable and Integrable Systems
dc.titleHypergeometric solutions to ultradiscrete Painleve equations
dc.typetext

Files

Collections

arXiv