In this paper we present a set of results on the integration and on the symmetries of the lattice potential Korteweg-deVries (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.
Levi, D., Petrera, M. (2007). Continuous symmetries of the lattice potential KdV equation. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 40(15), 4141-4159 [10.1088/1751-8113/40/15/006].
Continuous symmetries of the lattice potential KdV equation
LEVI, Decio;
2007-01-01
Abstract
In this paper we present a set of results on the integration and on the symmetries of the lattice potential Korteweg-deVries (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.File in questo prodotto:
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