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.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147399 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862735850339565568 |
|---|---|
| author | Isojima, Sh. Satsuma, J. |
| author_facet | Isojima, Sh. Satsuma, J. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T19:50:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147399 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:50:46Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| 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 |
| spellingShingle | A Class of Special Solutions for the Ultradiscrete Painlevé II Equation Isojima, Sh. Satsuma, J. |
| title | 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_short | A Class of Special Solutions for the Ultradiscrete Painlevé II Equation |
| title_sort | class of special solutions for the ultradiscrete painlevé ii equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147399 |
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