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Families of Integrable Equations

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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Main Authors: Kassotakis, P., Nieszporski, M.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/147991
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id irk-123456789-147991
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spelling irk-123456789-1479912019-02-17T01:24:37Z Families of Integrable Equations Kassotakis, P. Nieszporski, M. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/147991 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Kassotakis, P.
Nieszporski, M.
spellingShingle Kassotakis, P.
Nieszporski, M.
Families of Integrable Equations
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Kassotakis, P.
Nieszporski, M.
author_sort Kassotakis, P.
title Families of Integrable Equations
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
publisher Інститут математики НАН України
publishDate 2011
url http://dspace.nbuv.gov.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.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT kassotakisp familiesofintegrableequations
AT nieszporskim familiesofintegrableequations
first_indexed 2023-05-20T17:28:20Z
last_indexed 2023-05-20T17:28:20Z
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