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.

Saved in:
Bibliographic Details
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
Tags: Add Tag
No Tags, Be the first to tag this record!
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.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-147399
record_format dspace
spelling Isojima, Sh.
Satsuma, J.
2019-02-14T17:30:26Z
2019-02-14T17:30:26Z
2011
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.
1815-0659
2010 Mathematics Subject Classification: 34M55; 33E30; 39A13
DOI:10.3842/SIGMA.2011.074
https://nasplib.isofts.kiev.ua/handle/123456789/147399
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.
This paper is a contribution to the Proceedings of the Conference “Integrable Systems and Geometry” (August 12–17, 2010, Pondicherry University, Puducherry, India). The full collection is available at http://www.emis.de/journals/SIGMA/ISG2010.html. This work was supported by JSPS KAKENHI 21760063 and 21560069
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
spellingShingle A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
Isojima, Sh.
Satsuma, J.
title_short A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
title_full A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
title_fullStr A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
title_full_unstemmed A Class of Special Solutions for the Ultradiscrete Painlevé II Equation
title_sort class of special solutions for the ultradiscrete painlevé ii equation
author Isojima, Sh.
Satsuma, J.
author_facet Isojima, Sh.
Satsuma, J.
publishDate 2011
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description 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
url https://nasplib.isofts.kiev.ua/handle/123456789/147399
citation_txt 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.
work_keys_str_mv AT isojimash aclassofspecialsolutionsfortheultradiscretepainleveiiequation
AT satsumaj aclassofspecialsolutionsfortheultradiscretepainleveiiequation
AT isojimash classofspecialsolutionsfortheultradiscretepainleveiiequation
AT satsumaj classofspecialsolutionsfortheultradiscretepainleveiiequation
first_indexed 2025-12-07T19:50:46Z
last_indexed 2025-12-07T19:50:46Z
_version_ 1850880343235624960