Discretization of Liouville type nonautonomous equations preserving integrals

DOI10.1080/14029251.2016.1248159zbMath1420.35291arXiv1402.3692OpenAlexW3098348420WikidataQ114098821 ScholiaQ114098821MaRDI QIDQ5231048

Natalya A. Zheltukhina, Ismagil T. Habibullin

Publication date: 29 August 2019

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

Full work available at URL: https://arxiv.org/abs/1402.3692

zbMATH Keywords

discretizationcontinuum limitDarboux integrability\(x\)-integral\(n\)-integralsemi-discrete chain

Mathematics Subject Classification ID

Soliton equations (35Q51) Lattice dynamics; integrable lattice equations (37K60)

Related Items (5)

On construction of Darboux integrable discrete models ⋮ On the discretization of Darboux Integrable Systems ⋮ On a class of Darboux-integrable semidiscrete equations ⋮ On discretization of Darboux Integrable Systems admitting second-order integrals ⋮ On the discretization of Laine equations

Cites Work

• Unnamed Item
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• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• The problem of integrable discretization: Hamiltonian approach
• On the Goursat classification problem
• Discretization of the Euler Top
• Exactly integrable hyperbolic equations of Liouville type
• Discretization of hyperbolic type Darboux integrable equations preserving integrability
• A Discrete Analogue of the Dirac Operator and the Discrete Modified Novikov–Veselov Hierarchy
• Generalized symmetry classification of discrete equations of a class depending on twelve parameters
• Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1)
• How to discretize differential systems in a systematic way
• Semi-discrete hyperbolic equations admitting five dimensional characteristic x-ring

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