Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations

DOI10.1080/14029251.2019.1613050zbMath1417.37263arXiv1810.11184OpenAlexW3102960190WikidataQ115295474 ScholiaQ115295474MaRDI QIDQ5743365

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Publication date: 10 May 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11184

zbMATH Keywords

integrabilitygeneralized symmetriesquad-equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Symmetries of infinite-dimensional dissipative dynamical systems (37L20) Partial difference equations (39A14)

Related Items (8)

Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras $A^{(1)}_{N-1}$ ⋮ Perturbative symmetry approach for differential-difference equations ⋮ Linear relations for Laurent polynomials and lattice equations ⋮ On series of Darboux integrable discrete equations on square lattice ⋮ An unusual series of autonomous discrete integrable equations on a square lattice ⋮ Integrable modifications of the Ito-Narita-Bogoyavlensky equation ⋮ Algebraic entropy of a class of five-point differential-difference equations ⋮ A BASIS OF HIERARCHY OF GENERALIZED SYMMETRIES AND THEIR CONSERVATION LAWS FOR THE (3+1)-DIMENSIONAL DIFFUSION EQUATIONA

Cites Work

• Second order integrability conditions for difference equations: an integrable equation
• Integrable Möbius-invariant evolutionary lattices of second order
• On non-point invertible transformations of difference and differential-difference equations
• Invertible changes of variables generated by Bäcklund transformations
• On Miura transformations and Volterra-type equations associated with the Adler-Bobenko-Suris equations
• The problem of integrable discretization: Hamiltonian approach
• Integrable lattice equations and their growth properties
• Integrable seven-point discrete equations and second-order evolution chains
• Algebraic entropy
• Classification of integrable equations on quad-graphs. The consistency approach
• Discrete equation on a square lattice with a nonstandard structure of generalized symmetries
• An unusual series of autonomous discrete integrable equations on a square lattice
• Classification of five-point differential-difference equations
• Generalized symmetry integrability test for discrete equations on the square lattice
• Method for searching higher symmetries for quad-graph equations
• Generalized symmetry classification of discrete equations of a class depending on twelve parameters
• Symmetries as integrability criteria for differential difference equations
• On vector analogs of the modified Volterra lattice
• The generalized symmetry method for discrete equations
• Symmetries and integrability of discrete equations defined on a black–white lattice
• Nonlinear differential difference equations as Backlund transformations
• Algebraic constructions of integrable dynamical systems-extensions of the Volterra system
• An $H$-theorem for a system of competing species
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice
• Pfaffian Representation of Solutions to the Discrete BKP Hierarchy in Bilinear Form
• Classification of five-point differential–difference equations II
• On integrability of a discrete analogue of Kaup - Kupershmidt equation
• Peculiar symmetry structure of some known discrete nonautonomous equations
• Integrable discretizations of the Bogoyavlensky lattices
• Darboux integrability of trapezoidalH⁴andH⁴families of lattice equations I: first integrals
• Darboux integrable discrete equations possessing an autonomous first-order integral
• Searching for integrable lattice maps using factorization
• On the integrability of a new lattice equation found by multiple scale analysis
• The non-autonomous YdKN equation and generalized symmetries of Boll equations
• Discrete analogues of the Liouville equation
• Symmetries of Integrable Difference Equations on the Quad‐Graph

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