Families of Integrable Equations
We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some inte...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147991 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Families of Integrable Equations / P. Kassotakis, M. Nieszporski // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 33 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147991 |
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Kassotakis, P. Nieszporski, M. 2019-02-16T12:46:22Z 2019-02-16T12:46:22Z 2011 Families of Integrable Equations / P. Kassotakis, M. Nieszporski // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 33 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 82B20; 37K35; 39A05 http://dx.doi.org/10.3842/SIGMA.2011.100 https://nasplib.isofts.kiev.ua/handle/123456789/147991 We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties. This paper is a contribution to the Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria). The full collection is available at http://www.emis.de/journals/SIGMA/SIDE-9.html. We would like to thank organizers of SIDE-9 conference in Varna for their hospitality and financial support. Special thanks to Georgi Grahovski for showing us the other side of Varna. M.N. thanks Frank Nijhof f for pointing papers [20, 21]. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Families of Integrable Equations Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Families of Integrable Equations |
| spellingShingle |
Families of Integrable Equations Kassotakis, P. Nieszporski, M. |
| title_short |
Families of Integrable Equations |
| title_full |
Families of Integrable Equations |
| title_fullStr |
Families of Integrable Equations |
| title_full_unstemmed |
Families of Integrable Equations |
| title_sort |
families of integrable equations |
| author |
Kassotakis, P. Nieszporski, M. |
| author_facet |
Kassotakis, P. Nieszporski, M. |
| publishDate |
2011 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147991 |
| citation_txt |
Families of Integrable Equations / P. Kassotakis, M. Nieszporski // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 33 назв. — англ. |
| work_keys_str_mv |
AT kassotakisp familiesofintegrableequations AT nieszporskim familiesofintegrableequations |
| first_indexed |
2025-12-01T08:13:06Z |
| last_indexed |
2025-12-01T08:13:06Z |
| _version_ |
1850859648974848000 |