A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆
For the -Painlevé equation with affine Weyl group symmetry of type ⁽¹⁾₆, a 2 × 2 matrix Lax form and a second-order scalar lax form were known. We give a new 3 × 3 matrix Lax form and a third order scalar equation related to it. Continuous limit is also discussed.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212037 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆. Kanam Park. SIGMA 19 (2023), 094, 17 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | For the -Painlevé equation with affine Weyl group symmetry of type ⁽¹⁾₆, a 2 × 2 matrix Lax form and a second-order scalar lax form were known. We give a new 3 × 3 matrix Lax form and a third order scalar equation related to it. Continuous limit is also discussed.
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| ISSN: | 1815-0659 |