Symmetry Classification of Diatomic Molecular Chains

Abstract

A symmetry classification of possible interactions in a diatomic molecular chain is provided. For nonlinear interactions the group of Lie point transformations, leaving the lattice invariant and taking solutions into solutions, is at most five-dimensional. An example is considered in which subgroups of the symmetry group are used to reduce the dynamical differential-difference equations to purely difference ones.

27 pages, one figure

References in corpus (2)

• Lie point symmetries of difference equations and lattices
• Symmetries of Discrete Dynamical Systems Involving Two Species

Cited by in corpus (5)

• Continuous Symmetries of Difference Equations
• Lie symmetries of multidimensional difference equations
• Symmetry classification of KdV-type nonlinear evolution equations
• Lie group analysis of a generalized Krichever-Novikov differential-difference equation
• Symmetries of differential-difference dynamical systems in a two-dimensional lattice