On Darboux integrability of discrete 2D Toda lattices

Abstract

Darboux integrability of semidiscrete and discrete 2D Toda lattices corresponding to Lie algebras of A and C series is proved.

23 pages

References in corpus (1)

• Characteristic Lie Algebra and Classification of Semi-Discrete Models

Cited by in corpus (8)

• On a classification algorithm of the integrable two-dimensional lattices via Lie-Rinehart algebras
• On a method for constructing the Lax pairs for nonlinear integrable equations
• Characteristic Lie Algebras of Integrable Differential-Difference Equations in 3D
• Direct linearisation of the discrete-time two-dimensional Toda lattices
• Integral preserving discretization of 2D Toda lattices
• Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice
• Factorization of Darboux-Laplace transformations for discrete hyperbolic operatros
• An algebraic criterion of the Darboux integrability of differential-difference equations and systems