1999年3月15日
On integrability test for ultradiscrete equations
- ,
- 記述言語
- 掲載種別
- 講演資料等(セミナー,チュートリアル,講習,講義他)
We consider an integrability test for ultradiscrete equations based on the<br />
singularity confinement analysis for discrete equations. We show how<br />
singularity pattern of the test is transformed into that of ultradiscrete<br />
equation. The ultradiscrete solution pattern can be interpreted as a perturbed<br />
solution. We can also check an integrability of a given equation by a<br />
perturbation growth of a solution, namely Lyapunov exponent. Therefore,<br />
singularity confinement test and Lyapunov exponent are related each other in<br />
ultradiscrete equations and we propose an integrability test from this point of<br />
v...
singularity confinement analysis for discrete equations. We show how<br />
singularity pattern of the test is transformed into that of ultradiscrete<br />
equation. The ultradiscrete solution pattern can be interpreted as a perturbed<br />
solution. We can also check an integrability of a given equation by a<br />
perturbation growth of a solution, namely Lyapunov exponent. Therefore,<br />
singularity confinement test and Lyapunov exponent are related each other in<br />
ultradiscrete equations and we propose an integrability test from this point of<br />
v...