On the integrability of a discrete analogue of the Kaup-Kupershmidt equation

Abstract

We study a new example of equation obtained as a result of a recent generalized symmetry classification of differential-difference equations defined on five points of one-dimensional lattice. We have established that in the continuous limit this new equation goes into the well-known Kaup-Kupershmidt equation. We have also proved its integrability by constructing an $L-A$ pair and conservation laws. Moreover, we present a possibly new scheme for deriving conservation laws from $L-A$ pairs.

7 pages

References in corpus (2)

• On a discrete analog of the Tzitzeica equation
• Integrable evolution equations with constant separant

Cited by in corpus (2)

• Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation
• On the integrability of a lattice equation with two continuum limits