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].
Titolo: | Continuous symmetries of the lattice potential KdV equation | |
Autori: | ||
Data di pubblicazione: | 2007 | |
Rivista: | ||
Citazione: | 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]. | |
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. | |
Handle: | http://hdl.handle.net/11590/155506 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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