Rational Solutions of the Sasano System of Type A_5^{(2)}
In this paper, we completely classify the rational solutions of the Sasano system of type A_5^{(2)}, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type A_5^{(2)}.
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2011-03-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.030 |
| _version_ | 1818238224403791872 |
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| author | Kazuhide Matsuda |
| author_facet | Kazuhide Matsuda |
| author_sort | Kazuhide Matsuda |
| collection | DOAJ |
| description | In this paper, we completely classify the rational solutions of the Sasano system of type A_5^{(2)}, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type A_5^{(2)}. |
| first_indexed | 2024-12-12T12:38:15Z |
| format | Article |
| id | doaj.art-dd3ece1065b74a2d8be4dc24972dc430 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-12T12:38:15Z |
| publishDate | 2011-03-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-dd3ece1065b74a2d8be4dc24972dc4302022-12-22T00:24:17ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-03-017030Rational Solutions of the Sasano System of Type A_5^{(2)}Kazuhide MatsudaIn this paper, we completely classify the rational solutions of the Sasano system of type A_5^{(2)}, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type A_5^{(2)}.http://dx.doi.org/10.3842/SIGMA.2011.030affine Weyl grouprational solutionsSasano system |
| spellingShingle | Kazuhide Matsuda Rational Solutions of the Sasano System of Type A_5^{(2)} Symmetry, Integrability and Geometry: Methods and Applications affine Weyl group rational solutions Sasano system |
| title | Rational Solutions of the Sasano System of Type A_5^{(2)} |
| title_full | Rational Solutions of the Sasano System of Type A_5^{(2)} |
| title_fullStr | Rational Solutions of the Sasano System of Type A_5^{(2)} |
| title_full_unstemmed | Rational Solutions of the Sasano System of Type A_5^{(2)} |
| title_short | Rational Solutions of the Sasano System of Type A_5^{(2)} |
| title_sort | rational solutions of the sasano system of type a 5 2 |
| topic | affine Weyl group rational solutions Sasano system |
| url | http://dx.doi.org/10.3842/SIGMA.2011.030 |
| work_keys_str_mv | AT kazuhidematsuda rationalsolutionsofthesasanosystemoftypea52 |