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].
Symmetries of discrete dynamical systems
LEVI, Decio;
1996-01-01
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.File in questo prodotto:
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