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Symmetry, Integrability and Geometry: Methods and Applications
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Families of Integrable Equations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 28 Oct 2011Embargo end date: 01 Jan 2011Publisher:SIGMA (Symmetry, Integrability and Geometry: Methods and Application)Journal:Symmetry, Integrability and Geometry: Methods and Applications (eissn: 1815-0659, Copyright policy )
Authors: Kassotakis, P.; Nieszporski, M.;

doi: 10.3842/sigma.2011.100 , 10.48550/arxiv.1106.0636

arXiv: http://arxiv.org/abs/1106.0636

Families of Integrable Equations

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 B��cklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.

Related Organizations
Keywords

Nonlinear Sciences - Exactly Solvable and Integrable Systems, Yang-Baxter maps, 82B20, 37K35, 39A05, FOS: Physical sciences, Mathematical Physics (math-ph), consistency around the cube, QA1-939, Exactly Solvable and Integrable Systems (nlin.SI), Mathematics, Mathematical Physics, integrable lattice equations

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 9
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
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    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Average
Average
Green
gold