On discretization of Darboux Integrable Systems admitting second-order integrals
From MaRDI portal
Publication:5155565
DOI10.13108/2021-13-2-170zbMath1488.37061arXiv2007.08918OpenAlexW3193249484WikidataQ114057000 ScholiaQ114057000MaRDI QIDQ5155565
Kostyantyn Zheltukhin, Natalya A. Zheltukhina
Publication date: 7 October 2021
Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.08918
Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36)
Related Items (2)
An algebraic criterion of the Darboux integrability of differential-difference equations and systems ⋮ On construction of Darboux integrable discrete models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Cauchy problem for Darboux integrable systems and non-linear d'Alembert formulas
- Semidiscrete Toda lattices
- The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems
- Characteristic Lie algebra and classification of semidiscrete models
- On the characteristic Lie algebras for equations \(u_{xy} = f(u, u_x)\)
- Darboux integrable nonlinear hyperbolic equations
- On the Darboux integrable hyperbolic equations
- Characteristic algebras of fully discrete hyperbolic type equations
- Exactly integrable hyperbolic equations of Liouville type
- Discretization of hyperbolic type Darboux integrable equations preserving integrability
- Classification of integrable discrete Klein–Gordon models
- On Darboux-integrable semi-discrete chains
- Cartan matrices and integrable lattice Toda field equations
- Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1)
- On the discretization of Darboux Integrable Systems
- Discretization of Liouville type nonautonomous equations preserving integrals
- On the discretization of Laine equations
- Darboux-integrable two-component nonlinear hyperbolic systems of equations
- Discrete analogues of the Liouville equation
This page was built for publication: On discretization of Darboux Integrable Systems admitting second-order integrals