An ultradiscrete matrix version of the fourth Painleve equation

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We 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.
12 pages, 12 figures, Latex2e, Submitted to J. Phys. A, corrections made

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Exactly Solvable and Integrable Systems, Cellular Automata and Lattice Gases

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http://salesiana.dossiersoluciones.com/handle/123456789/118223

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0610041
 http://arxiv.org/abs/nlin/0610041

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arXiv