A Class of Special Solutions for the Ultradiscrete Painlevé II Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Isojima, Sh., Satsuma, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147399
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Class of Special Solutions for the Ultradiscrete Painlevé II Equation / Sh. Isojima, J. Satsuma // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 10 назв. — англ.

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.