S. Takeno et M. Peyrard, NONLINEAR ROTATING MODES - GREENS-FUNCTION SOLUTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(2), 1997, pp. 1922-1928
Lattice Green's functions are used to investigate localized rotating m
odes recently exhibited in some nonlinear lattices. For a one-dimensio
nal lattice, analytical expressions of the solution are obtained, firs
t in the rotating-wave approximation and then by including higher-orde
r terms. Numerical simulations confirm the validity of these solutions
. The method is not restricted to one-dimensional lattices.