Differential-difference equations of the form u(n)=F-n(t,u(n-1),u(n),u(n+1)) are classified according to their continuous Lie point symmetry groups. It is shown that for nonlinear equations, the symmetry group can be at most seven-dimensional. The integrable Toda lattice is a member of this class and has a four-dimensional symmetry group. (C) 1996 American Institute of Physics.
Levi D, & Winternitz P (1996). Symmetries of discrete dynamical systems. JOURNAL OF MATHEMATICAL PHYSICS, 37(11), 5551-5576 [10.1063/1.531722].
Titolo: | Symmetries of discrete dynamical systems | |
Autori: | ||
Data di pubblicazione: | 1996 | |
Rivista: | ||
Citazione: | Levi D, & Winternitz P (1996). Symmetries of discrete dynamical systems. JOURNAL OF MATHEMATICAL PHYSICS, 37(11), 5551-5576 [10.1063/1.531722]. | |
Abstract: | Differential-difference equations of the form u(n)=F-n(t,u(n-1),u(n),u(n+1)) are classified according to their continuous Lie point symmetry groups. It is shown that for nonlinear equations, the symmetry group can be at most seven-dimensional. The integrable Toda lattice is a member of this class and has a four-dimensional symmetry group. (C) 1996 American Institute of Physics. | |
Handle: | http://hdl.handle.net/11590/155418 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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