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.
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2023 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212037 |
| 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 3 × 3 Lax Form for the -Painlevé Equation of Type ₆. Kanam Park. SIGMA 19 (2023), 094, 17 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862650037867118592 |
|---|---|
| author | Park, Kanam |
| author_facet | Park, Kanam |
| citation_txt | A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆. Kanam Park. SIGMA 19 (2023), 094, 17 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2026-03-15T14:41:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212037 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T14:41:36Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Park, Kanam 2026-01-23T10:10:27Z 2023 A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆. Kanam Park. SIGMA 19 (2023), 094, 17 pages 1815-0659 2020 Mathematics Subject Classification: 14H70; 34M56; 39A13 arXiv:2211.16706 https://nasplib.isofts.kiev.ua/handle/123456789/212037 https://doi.org/10.3842/SIGMA.2023.094 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. The author would like to express her gratitude to Professor Yasuhiko Yamada for valuable suggestions and encouragement. And the author is grateful to referees for giving helpful comments to improve the manuscript. She also thanks supports from JSPS KAKENHI Grant Numbers 17H06127 and 26287018 for the travel expenses in accomplishing this study. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆ Article published earlier |
| spellingShingle | A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆ Park, Kanam |
| title | A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆ |
| title_full | A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆ |
| title_fullStr | A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆ |
| title_full_unstemmed | A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆ |
| title_short | A 3 × 3 Lax Form for the -Painlevé Equation of Type ₆ |
| title_sort | 3 × 3 lax form for the -painlevé equation of type ₆ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212037 |
| work_keys_str_mv | AT parkkanam a33laxformforthepainleveequationoftype6 AT parkkanam 33laxformforthepainleveequationoftype6 |