Discretization of hyperbolic type Darboux integrable equations preserving integrability

Abstract

A method of integrable discretization of the Liouville type nonlinear partial differential equations is suggested based on integrals. New examples of discrete Liouville type models are presented.

16 pages

References in corpus (2)

• On Darboux Integrable Semi-Discrete Chains
• Invariant difference schemes and their application to $SL(2,\mathbb{R})$ invariant ordinary differential equations

Cited by in corpus (7)

• Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
• Darboux integrability of trapezoidal $H^4$ and $H^6$ families of lattice equations I: First integrals
• Cartan matrices and integrable lattice Toda field equations
• Discretization of Liouville type nonautonomous equations preserving integrals
• Integral preserving discretization of 2D Toda lattices
• Non-Point Invertible Transformations and Integrability of Partial Difference Equations
• Darboux integrable discrete equations possessing an autonomous first-order integral