The lattice Schwarzian KdV equation and its symmetries
Decio Levi, Matteo Petrera, Christian Scimiterna
TL;DR
This paper investigates the symmetries of the lattice Schwarzian KdV equation, constructing various symmetry types and demonstrating their use in generating non-autonomous non-integrable symmetries.
Contribution
It provides a comprehensive analysis of Lie point, generalized, and master symmetries for the lSKdV equation, including the construction of non-autonomous non-integrable symmetries.
Findings
Constructed Lie point symmetries for lSKdV
Derived an infinite sequence of generalized symmetries
Showed how to generate non-autonomous non-integrable 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.
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