Symmetry Classification of Diatomic Molecular Chains
arXiv:nlin/0204021 · doi:10.1063/1.1398583
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