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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2011-07-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.074 |
| _version_ | 1818977943516348416 |
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| author | Shin Isojima Junkichi Satsuma |
| author_facet | Shin Isojima Junkichi Satsuma |
| author_sort | Shin Isojima |
| collection | DOAJ |
| 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 | 2024-12-20T16:35:46Z |
| format | Article |
| id | doaj.art-3130ff53f33c4d1786a4a4bdbe55f6d0 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-20T16:35:46Z |
| publishDate | 2011-07-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-3130ff53f33c4d1786a4a4bdbe55f6d02022-12-21T19:33:10ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-07-017074A Class of Special Solutions for the Ultradiscrete Painlevé II EquationShin IsojimaJunkichi SatsumaA 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.http://dx.doi.org/10.3842/SIGMA.2011.074ultradiscretizationPainlevé equationAiry equationq-difference equation |
| spellingShingle | Shin Isojima Junkichi Satsuma A Class of Special Solutions for the Ultradiscrete Painlevé II Equation Symmetry, Integrability and Geometry: Methods and Applications ultradiscretization Painlevé equation Airy equation q-difference equation |
| 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 painleve ii equation |
| topic | ultradiscretization Painlevé equation Airy equation q-difference equation |
| url | http://dx.doi.org/10.3842/SIGMA.2011.074 |
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