A Class of Special Solutions for the Ultradiscrete Painlev\'e II Equation
Exactly Solvable and Integrable Systems
2011-07-25 v1 Classical Analysis and ODEs
Abstract
A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of -Painlev\'e II (-PII) equation. The solutions are classified into four groups depending on the function-type and the system parameter.
Keywords
Cite
@article{arxiv.1107.4416,
title = {A Class of Special Solutions for the Ultradiscrete Painlev\'e II Equation},
author = {Shin Isojima and Junkichi Satsuma},
journal= {arXiv preprint arXiv:1107.4416},
year = {2011}
}