Symmetry Classification of Diatomic Molecular Chains

Details Symmetry Classification of Diatomic Molecular Chains Symmetry Classification of Diatomic Molecular Chains

2002-04-12

arxiv.org/abs/nlin/0204021v1

Journal of Mathematical Physics 42 (2001), 5341-5357

Nonlinear Sciences

Exactly Solvable and Integrable Systems

27 pages, one figure

Scientific paper

10.1063/1.1398583

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.

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