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.

arXiv comment11 pages, no figures. Submitted to Jour. Phys. A, Special Issue SIDE VII

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• On vector analogs of the modified Volterra lattice
• Integrable Möbius invariant evolutionary lattices of second order
• Peculiar symmetry structure of some known discrete nonautonomous equations
• Continuous symmetric reductions of the Adler-Bobenko-Suris equations
• Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency
• On a nonlinear integrable difference equation on the square 3D-inconsistent
• Finite genus solutions to the lattice Schwarzian Korteweg-de Vries equation
• On some class of partial difference equations admitting a zero-curvature representation
• Continuous Symmetries of the Lattice Potential KdV Equation