On some class of differential-difference equations admitting Lax representation

2013/04/27 by Andrei K. Svinin, Svinin, Andrei K. · 1 citation
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1304.7310

LaTex, 8 pages

arxiv created 2013/08/29 · arxiv updated 2013/08/30

Abstract

This note is designed to show some classes of differential-difference equations admitting Lax representation which generalize evolutionary equations known in the literature.

Cited by

• On some class of partial difference equations admitting a zero-curvature representation

Related

• On some class of partial difference equations admitting a zero-curvature representation
• Constraints for Evolution Equations with Some Special Form of Lax Pairs and Distinguishing Lax Pairs by Available Constraints
• Scaling Invariant Lax Pairs of Nonlinear Evolution Equations
• A natural geometric construction underlying a class of Lax pairs
• Lax pairs for additive difference Painlevé equations