dorsal/arxiv
View SchemaOn integrability test for ultradiscrete equations
| Authors | Daisuke Takahashi, Kenji Kajiwara |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9903012 |
| URL | https://arxiv.org/abs/solv-int/9903012 |
Abstract
We 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.
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"abstract": "We consider an integrability test for ultradiscrete equations based on the\nsingularity confinement analysis for discrete equations. We show how\nsingularity pattern of the test is transformed into that of ultradiscrete\nequation. The ultradiscrete solution pattern can be interpreted as a perturbed\nsolution. We can also check an integrability of a given equation by a\nperturbation growth of a solution, namely Lyapunov exponent. Therefore,\nsingularity confinement test and Lyapunov exponent are related each other in\nultradiscrete equations and we propose an integrability test from this point of\nview.",
"arxiv_id": "solv-int/9903012",
"authors": [
"Daisuke Takahashi",
"Kenji Kajiwara"
],
"categories": [
"solv-int",
"nlin.SI"
],
"title": "On integrability test for ultradiscrete equations",
"url": "https://arxiv.org/abs/solv-int/9903012"
},
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