We construct the hierarchy of nonlinear difference-difference equations associated with the discrete Schrodinger spectral problem. As examples of equations contained in this hierarchy we obtain the discrete-time Toda and Volterra lattice equations. In the case of the time-discrete Toda lattice, we construct its Lie point and generalized symmetries. Finally, we present its Backlund transformations and relate it to the already constructed symmetries.
Levi, D., Martina, L. (2001). Integrable hierarchies of nonlinear difference-difference equations and symmetries. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 34(48), 10357-10368 [10.1088/0305-4470/34/48/302].
Integrable hierarchies of nonlinear difference-difference equations and symmetries
LEVI, Decio;
2001-01-01
Abstract
We construct the hierarchy of nonlinear difference-difference equations associated with the discrete Schrodinger spectral problem. As examples of equations contained in this hierarchy we obtain the discrete-time Toda and Volterra lattice equations. In the case of the time-discrete Toda lattice, we construct its Lie point and generalized symmetries. Finally, we present its Backlund transformations and relate it to the already constructed symmetries.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
