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Rational Solutions of the H3 and Q1 Models in the ABS Lattice List

Rational solutions of the H3 and Q1 models in the ABS lattice list
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 May 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: Shi, Y.; Zhang, D.;

doi: 10.3842/sigma.2011.046 , 10.48550/arxiv.1105.1583

arXiv: 1105.1583

Rational Solutions of the H3 and Q1 Models in the ABS Lattice List

Abstract

In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.

Related Organizations
Keywords

rational solutions, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Casoratian, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, bilinear, Q1, H3, QA1-939, Exactly Solvable and Integrable Systems (nlin.SI), Mathematics

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selected citations
These citations are derived from selected sources.
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!
4
Average
Average
Average
Green
gold