The lattice Schwarzian KdV equation and its symmetries

Abstract

In this paper we present a set of results on the symmetries of the lattice Schwarzian Korteweg-de Vries (lSKdV) equation. We construct the Lie point symmetries and, using its associated spectral problem, an infinite sequence of generalized symmetries and master symmetries. We finally show that we can use master symmetries of the lSKdV equation to construct non-autonomous non-integrable generalized symmetries.

11 pages, no figures. Submitted to Jour. Phys. A, Special Issue SIDE VII

Cited by in corpus (7)

• On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations
• Integrability and Symmetries of Difference Equations: the Adler-Bobenko-Suris Case
• Peculiar symmetry structure of some known discrete nonautonomous equations
• Continuous symmetric reductions of the Adler-Bobenko-Suris equations
• On a nonlinear integrable difference equation on the square 3D-inconsistent
• On some class of partial difference equations admitting a zero-curvature representation
• Continuous Symmetries of the Lattice Potential KdV Equation