Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2002-04-12
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.
Lafortune Stephane
Tremblay Sébastien
Winternitz Pavel
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