Continuous Symmetries of the Lattice Potential KdV Equation
classification
🧮 math-ph
math.MP
keywords
symmetriesequationconstructgeneralizedlatticelpkdvpotentialassociated
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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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