On integrability test for ultradiscrete equations

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dc.creatorTakahashi, Daisuke
dc.creatorKajiwara, Kenji
dc.date1999-03-15
dc.date.accessioned2026-07-07T06:17:47Z
dc.date.available2026-07-07T06:17:47Z
dc.descriptionWe consider an integrability test for ultradiscrete equations based on the singularity confinement analysis for discrete equations. We show how singularity pattern of the test is transformed into that of ultradiscrete equation. The ultradiscrete solution pattern can be interpreted as a perturbed solution. We can also check an integrability of a given equation by a perturbation growth of a solution, namely Lyapunov exponent. Therefore, singularity confinement test and Lyapunov exponent are related each other in ultradiscrete equations and we propose an integrability test from this point of view.
dc.description10 pages including 5 figures
dc.identifierhttps://arxiv.org/abs/solv-int/9903012
dc.identifierhttp://arxiv.org/abs/solv-int/9903012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94506
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn integrability test for ultradiscrete equations
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