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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 100, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.100 (Mi sigma658) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Families of Integrable Equations

Pavlos Kassotakisa, Maciej Nieszporskib

a Department of Mathematics and Statistics University of Cyprus, P.O. Box: 20537, 1678 Nicosia, Cyprus
b Katedra Metod Matematycznych Fizyki, Uniwersytet Warszawski, ul. Hoza 74, 00-682 Warszawa, Poland
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DOI: https://doi.org/10.3842/SIGMA.2011.100
Abstract: 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.
Keywords: integrable lattice equations, Yang–Baxter maps, consistency around the cube.
Received: May 23, 2011; in final form October 20, 2011; Published online October 28, 2011
Bibliographic databases:
Document Type: Article
MSC: 82B20; 37K35; 39A05
Language: English
Citation: Pavlos Kassotakis, Maciej Nieszporski, “Families of Integrable Equations”, SIGMA, 7 (2011), 100, 14 pp.
Citation in format AMSBIB
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\by Pavlos Kassotakis, Maciej Nieszporski
\paper Families of Integrable Equations
\jour SIGMA
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\vol 7
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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