A Class of Special Solutions for the Ultradiscrete Painlevé II Equation

A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of q-Painlevé II (q-PII) equation. The solutions are classified into four groups depending on the function-type and the system parameter.

Bibliographic Details
Main Authors: Shin Isojima, Junkichi Satsuma
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-07-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.074
Description
Summary:A class of special solutions are constructed in an intuitive way for the ultradiscrete analog of q-Painlevé II (q-PII) equation. The solutions are classified into four groups depending on the function-type and the system parameter.
ISSN:1815-0659