ar X iv : m at h - ph / 0 70 10 79 v 1 3 1 Ja n 20 07 CONTINUOUS SYMMETRIES OF THE LATTICE POTENTIAL KDV EQUATION
نویسنده
چکیده
In this paper we present a set of results on the integration and on the symmetries of the lattice potential Korteweg-de Vries (lpKdV) equation. Using its associated spectral problem we construct the soliton solutions and the Lax technique enables us to provide infinite sequences of generalized symmetries. Finally, using a discrete symmetry of the lpKdV equation, we construct a large class of non-autonomous generalized symmetries.
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