Continuous Symmetries of the Lattice Potential KdV Equation
arXiv:math-ph/0701079
Abstract
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.
20 pages, submitted to Jour. Phys. A