In this paper, we present a set of results on the symmetries of the lattice Schwarzian Korteweg-de Vries (1SKdV) 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 1SKdV equation to construct non-autonomous non-integrable generalized symmetries.
Levi, D., Petrera, M., Scimiterna, C. (2007). The lattice Schwarzian KdV equation and its symmetries. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 40(42), 12753-12761 [10.1088/1751-8113/40/42/S18].
The lattice Schwarzian KdV equation and its symmetries
LEVI, Decio;
2007-01-01
Abstract
In this paper, we present a set of results on the symmetries of the lattice Schwarzian Korteweg-de Vries (1SKdV) 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 1SKdV equation to construct non-autonomous non-integrable generalized symmetries.File in questo prodotto:
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