Discretization of hyperbolic type Darboux integrable equations preserving integrability

DOI10.1063/1.3628587zbMath1272.39004arXiv1102.1236OpenAlexW3098872604MaRDI QIDQ2849789

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

Publication date: 24 September 2013

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

Full work available at URL: https://arxiv.org/abs/1102.1236

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Discrete version of topics in analysis (39A12)

Related Items (8)

Integral preserving discretization of 2D Toda lattices ⋮ On construction of Darboux integrable discrete models ⋮ Darboux integrability of trapezoidalH⁴andH⁴families of lattice equations I: first integrals ⋮ On the discretization of Darboux Integrable Systems ⋮ Integrals and characteristic Lie rings of semi-discrete systems of equations ⋮ On discretization of Darboux Integrable Systems admitting second-order integrals ⋮ Discretization of Liouville type nonautonomous equations preserving integrals ⋮ On the discretization of Laine equations

Cites Work

• C-series discrete chains
• Lie algebras and equations of Korteweg-de Vries type
• Asymptotic transitions from discrete to continuous models
• Two-dimensional generalized Toda lattice
• Dressing chains and the spectral theory of the Schrödinger operator
• Discrete Toda field equations
• Exactly integrable hyperbolic equations of Liouville type
• On Darboux-integrable semi-discrete chains
• Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1)
• Invariant difference schemes and their application to sl(2\hbox{,}\, \mathbb {R}) invariant ordinary differential equations
• Bäcklund transformations for the sine–Gordon equations
• Discrete analogues of the Liouville equation

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