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The lattice Schwarzian KdV equation and its symmetries

Decio Levi, Matteo Petrera, Christian Scimiterna

math-pharXiv:math-ph/0701044

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.

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