Negative Times of the Davey-Stewartson Integrable Hierarchy
We use the example of the Davey-Stewartson hierarchy to show that, in addition to the standard equations given by the Lax operator and evolutions of time with positive numbers, one can consider time evolutions with negative numbers and the same Lax operator. We derive corresponding Lax pairs and int...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2021 |
| ISSN: | 1815-0659 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211436 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Negative Times of the Davey-Stewartson Integrable Hierarchy. Andrei K. Pogrebkov. SIGMA 17 (2021), 091, 12 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862660963471196160 |
|---|---|
| author | Pogrebkov, Andrei K. |
| author_facet | Pogrebkov, Andrei K. |
| citation_txt | Negative Times of the Davey-Stewartson Integrable Hierarchy. Andrei K. Pogrebkov. SIGMA 17 (2021), 091, 12 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We use the example of the Davey-Stewartson hierarchy to show that, in addition to the standard equations given by the Lax operator and evolutions of time with positive numbers, one can consider time evolutions with negative numbers and the same Lax operator. We derive corresponding Lax pairs and integrable equations.
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| first_indexed | 2026-03-16T04:01:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211436 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T04:01:36Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Pogrebkov, Andrei K. 2026-01-02T08:32:59Z 2021 Negative Times of the Davey-Stewartson Integrable Hierarchy. Andrei K. Pogrebkov. SIGMA 17 (2021), 091, 12 pages 1815-0659 2020 Mathematics Subject Classification: 37K10; 70H06 arXiv:2106.03835 https://nasplib.isofts.kiev.ua/handle/123456789/211436 https://doi.org/10.3842/SIGMA.2021.091 We use the example of the Davey-Stewartson hierarchy to show that, in addition to the standard equations given by the Lax operator and evolutions of time with positive numbers, one can consider time evolutions with negative numbers and the same Lax operator. We derive corresponding Lax pairs and integrable equations. This research is supported by a grant from the Russian Science Foundation (Project No. 19-1100062). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Negative Times of the Davey-Stewartson Integrable Hierarchy Article published earlier |
| spellingShingle | Negative Times of the Davey-Stewartson Integrable Hierarchy Pogrebkov, Andrei K. |
| title | Negative Times of the Davey-Stewartson Integrable Hierarchy |
| title_full | Negative Times of the Davey-Stewartson Integrable Hierarchy |
| title_fullStr | Negative Times of the Davey-Stewartson Integrable Hierarchy |
| title_full_unstemmed | Negative Times of the Davey-Stewartson Integrable Hierarchy |
| title_short | Negative Times of the Davey-Stewartson Integrable Hierarchy |
| title_sort | negative times of the davey-stewartson integrable hierarchy |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211436 |
| work_keys_str_mv | AT pogrebkovandreik negativetimesofthedaveystewartsonintegrablehierarchy |