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Multi-component extension of CAC systems (Q784857)

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Language	Label	Description	Also known as
English	Multi-component extension of CAC systems	scientific article

Statements

scholarly article

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Multi-component extension of CAC systems (English)

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Peter H. van der Kamp

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SIGMA. Symmetry, Integrability and Geometry: Methods and Applications

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publication date

3 August 2020

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full work available at URL

https://arxiv.org/abs/1912.00713

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zbMATH Keywords

lattice equations

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consistency around the cube

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cyclic group

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multi-component

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Lax pair

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Bäcklund transformation

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MaRDI profile type

MaRDI publication profile

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On the Structure of the Bäcklund Transformations for the Relativistic Lattices

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Discrete equations on planar graphs

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Classification of integrable equations on quad-graphs. The consistency approach

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Discrete nonlinear hyperbolic equations. Classification of integrable cases

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Classification of Integrable Discrete Equations of Octahedron Type

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Bäcklund transformations for integrable lattice equations

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Multi-Quadratic Quad Equations: Integrable Cases from a Factorized-Discriminant Hypothesis

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Integrable noncommutative equations on quad-graphs. The consistency approach

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Classification of 3D Consistent Quad-Equations

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Symbolic computation of Lax pairs of partial difference equations using consistency around the cube

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Coupled Ablowitz–Ladik equations with branched dispersion

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Coupled discrete KdV equations and modular genetic networks

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Squared eigenfunction symmetry of the DmKP hierarchy and its constraint

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Integrable lattices and their sublattices: From the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme

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Basic properties of discrete analytic functions

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Exact solutions of quantum mappings from the lattice KdV as multi-dimensional operator difference equations

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${{\mathbb{Z}}_{N}}$ graded discrete Lax pairs and integrable difference equations

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Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations

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Darboux integrability of trapezoidal \(H^{4}\) and \(H^{6}\) families of lattice equations. II: General solutions

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Boussinesq-like multi-component lattice equations and multi-dimensional consistency

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Search for CAC-integrable homogeneous quadratic triplets of quad equations and their classification by BT and Lax

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Multisoliton solutions to the lattice Boussinesq equation

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Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization

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Soliton taxonomy for a modification of the lattice Boussinesq equation

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Reflection groups and discrete integrable systems

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Extended Z-invariance for integrable vector and face models and multi-component integrable quad equations

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Difference systems in bond and face variables and non-potential versions of discrete integrable systems

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Tetrahedron maps and symmetries of three dimensional integrable discrete equations

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Integrable two-component systems of difference equations

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Bianchi Hypercubes and a Geometric Unification of the Hirota and Miwa Equations

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Structure preserving discretizations of the Liouville equation and their numerical tests

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Discrete Riemann surfaces and the Ising model.

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On Hirota's difference equations

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Reduction of lattice equations to the Painlevé equations: PIV and PV

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Lax pair for the Adler (lattice Krichever-Novikov) system

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Soliton solutions for ABS lattice equations: I. Cauchy matrix approach

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The direct linearisation approach to hierarchies of integrable PDEs in 2 + 1 dimensions: I. Lattice equations and the differential-difference hierarchies

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The lattice Gel'fand-Dikii hierarchy

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The discrete and continuous Painlevé VI hierarchy and the Garnier systems

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Darboux transformations and the discrete KP equation

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Yang–Baxter maps and multi-field integrable lattice equations

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A discrete-time relativistic Toda lattice

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THE BOUSSINESQ INTEGRABLE SYSTEM: COMPATIBLE LATTICE AND CONTINUUM STRUCTURES

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Classification of three-dimensional integrable scalar discrete equations

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Duality for discrete integrable systems II

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INTEGRABLE LATTICE MAPS: <i>Q</i><sub><i>V</i></sub>, A RATIONAL VERSION OF <i>Q</i><sub>4</sub>

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Symmetries and integrability of discrete equations defined on a black–white lattice

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Rational solutions to the ABS list: transformation approach

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Rational solutions to Q3<i> <sub>δ</sub> </i> in the Adler-Bobenko-Suris list and degenerations

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Identifiers

zbMATH Open document ID

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10.3842/SIGMA.2020.060

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:784857

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