Symmetry Classification of Diatomic Molecular Chains
نویسندگان
چکیده
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. Department of Mathematics, University of Arizona, P.O. Box 210089, Tucson, Arizona 85721-0089 USA ([email protected]) Centre de Recherches Mathématiques and Département de Physique, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal (QC), H3C 3J7, Canada ([email protected]) Centre de Recherches Mathématiques and Département de Mathématiques et de Statistique, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal (QC), H3C 3J7, Canada ([email protected])
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