An ultradiscrete matrix version of the fourth Painleve equation

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dc.creatorField, Chris M.
dc.creatorOrmerod, Chris M.
dc.date2006-10-19
dc.date2006-12-06
dc.date.accessioned2026-07-07T07:29:44Z
dc.date.available2026-07-07T07:29:44Z
dc.descriptionWe establish a matrix generalization of the ultradiscrete fourth Painlevé equation (ud-PIV). Well-defined multicomponent systems that permit ultradiscretization are obtained using an approach that relies on a group defined by constraints imposed by the requirement of a consistent evolution of the systems. The ultradiscrete limit of these systems yields coupled multicomponent ultradiscrete systems that generalize ud-PIV. The dynamics, irreducibility, and integrability of the matrix valued ultradiscrete systems are studied.
dc.description12 pages, 12 figures, Latex2e, Submitted to J. Phys. A, corrections made
dc.identifierhttps://arxiv.org/abs/nlin/0610041
dc.identifierhttp://arxiv.org/abs/nlin/0610041
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118223
dc.subjectExactly Solvable and Integrable Systems
dc.subjectCellular Automata and Lattice Gases
dc.titleAn ultradiscrete matrix version of the fourth Painleve equation
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