Symmetries of Discrete Dynamical Systems Involving Two Species

Details Symmetries of Discrete Dynamical Systems Involving Two Species Symmetries of Discrete Dynamical Systems Involving Two Species

1998-12-16

arxiv.org/abs/solv-int/9812019v1

J. Math. Phys. 40 (1999) 2782-2804

Nonlinear Sciences

Exactly Solvable and Integrable Systems

40 pages, no figures, typed in AMS-LaTeX

Scientific paper

10.1063/1.532728

The Lie point symmetries of a coupled system of two nonlinear
differential-difference equations are investigated. It is shown that in special
cases the symmetry group can be infinite dimensional, in other cases up to 10
dimensional. The equations can describe the interaction of two long molecular
chains, each involving one type of atoms.

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