Treffer: Weak Lax pairs for lattice equations
Title:
Weak Lax pairs for lattice equations
Authors:
Source:
Nonlinearity (Bristol. Print). 25(7):1955-1966
Publisher Information:
Bristol: Institute of Physics, 2012.
Publication Year:
2012
Physical Description:
print, 22 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Ordre, treillis, structures algébriques ordonnées, Order, lattices, ordered algebraic structures, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Equations aux différences et fonctionnelles, relations de récurrence, Difference and functional equations, recurrence relations, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Analyse non linéaire, Nonlinear analysis, análisis no lineal, Equation Yang Baxter, Yang Baxter equation, Ecuación Yang Baxter, Equation fonctionnelle, Functional equation, Ecuación funcional, Intégrabilité, Integrability, Integrabilidad, Modèle réticulaire, Lattice model, Modelo reticular, Physique mathématique, Mathematical physics, Física matemática, Treillis, Lattice, Enrejado, 06Bxx, 37K10, 39XX, 65Q05
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
LPTHE / CNRS / UPMC, 4 place Jussieu 75252 Paris CEDEX 05, France
Department of Physics and Astronomy, University of Turku, 20014 Turku, Finland
Department of Physics and Astronomy, University of Turku, 20014 Turku, Finland
ISSN:
0951-7715
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.26131758
Database:
PASCAL Archive
Weitere Informationen
We consider various 2D lattice equations and their integrability, from the point of view of 3D consistency, Lax pairs and Backlund transformations. We show that these concepts, which are associated with integrability, are not strictly equivalent. In the course of our analysis, we introduce a number of black and white lattice models, as well as variants of the functional Yang―Baxter equation.