Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals
We construct a certain reduction of the 2D Toda hierarchy and obtain a tau-symmetric Hamiltonian integrable hierarchy. This reduced integrable hierarchy controls the linear Hodge integrals in the way that one part of its flows yields the intermediate long wave hierarchy, and the remaining flows coin...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2022 |
| ISSN: | 1815-0659 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211631 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals. Si-Qi Liu, Zhe Wang and Youjin Zhang. SIGMA 18 (2022), 037, 18 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862652436356792320 |
|---|---|
| author | Liu, Si-Qi Wang, Zhe Zhang, Youjin |
| author_facet | Liu, Si-Qi Wang, Zhe Zhang, Youjin |
| citation_txt | Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals. Si-Qi Liu, Zhe Wang and Youjin Zhang. SIGMA 18 (2022), 037, 18 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct a certain reduction of the 2D Toda hierarchy and obtain a tau-symmetric Hamiltonian integrable hierarchy. This reduced integrable hierarchy controls the linear Hodge integrals in the way that one part of its flows yields the intermediate long wave hierarchy, and the remaining flows coincide with a certain limit of the flows of the fractional Volterra hierarchy, which controls the special cubic Hodge integrals.
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| first_indexed | 2026-03-15T16:30:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211631 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T16:30:27Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Liu, Si-Qi Wang, Zhe Zhang, Youjin 2026-01-07T13:41:29Z 2022 Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals. Si-Qi Liu, Zhe Wang and Youjin Zhang. SIGMA 18 (2022), 037, 18 pages 1815-0659 2020 Mathematics Subject Classification: 53D45; 37K10; 37K25 arXiv:2110.03317 https://nasplib.isofts.kiev.ua/handle/123456789/211631 https://doi.org/10.3842/SIGMA.2022.037 We construct a certain reduction of the 2D Toda hierarchy and obtain a tau-symmetric Hamiltonian integrable hierarchy. This reduced integrable hierarchy controls the linear Hodge integrals in the way that one part of its flows yields the intermediate long wave hierarchy, and the remaining flows coincide with a certain limit of the flows of the fractional Volterra hierarchy, which controls the special cubic Hodge integrals. This work is supported by NSFC no. 12171268, no. 11725104 and no. 11771238. We thank the anonymous referees for helpful comments and suggestions to improve the presentation of the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals Article published earlier |
| spellingShingle | Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals Liu, Si-Qi Wang, Zhe Zhang, Youjin |
| title | Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals |
| title_full | Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals |
| title_fullStr | Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals |
| title_full_unstemmed | Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals |
| title_short | Reduction of the 2D Toda Hierarchy and Linear Hodge Integrals |
| title_sort | reduction of the 2d toda hierarchy and linear hodge integrals |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211631 |
| work_keys_str_mv | AT liusiqi reductionofthe2dtodahierarchyandlinearhodgeintegrals AT wangzhe reductionofthe2dtodahierarchyandlinearhodgeintegrals AT zhangyoujin reductionofthe2dtodahierarchyandlinearhodgeintegrals |