On Darboux-integrable semi-discrete chains

DOI10.1088/1751-8113/43/43/434017zbMath1207.34096arXiv1002.0988OpenAlexW3099462264MaRDI QIDQ3057430

Alfia Sakieva, Ismagil T. Habibullin, Natalya A. Zheltukhina

Publication date: 24 November 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0988

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Lattice functional-differential equations (34K31)

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An algebraic criterion of the Darboux integrability of differential-difference equations and systems ⋮ Construction of localized particular solutions of chains with three independent variables ⋮ Relationships between symmetries depending on arbitrary functions and integrals of discrete equations ⋮ On a class of Darboux-integrable semidiscrete equations ⋮ On discretization of Darboux Integrable Systems admitting second-order integrals ⋮ Semi-discrete hyperbolic equations admitting five dimensional characteristic x-ring ⋮ Discretization of hyperbolic type Darboux integrable equations preserving integrability ⋮ Darboux-integrable two-component nonlinear hyperbolic systems of equations ⋮ Characteristic Lie algebras of integrable differential-difference equations in 3D

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