Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays
Alejandro B. AcevesDepartment of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131Costantino De AngelisDepartment of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131Thomas PeschelDepartment of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131R. MuschallDepartment of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131F. LedererDepartment of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131S. TrilloDepartment of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131S. WabnitzDepartment of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131
1996en
ABI
Abstract
We investigate the self-trapping phenomenon in one-dimensional nonlinear waveguide arrays. We discuss various approximate analytical descriptions of the discrete self-trapped solutions. We analyze the packing, steering, and collision properties of these solutions, by means of a variational approach and soliton perturbation theory. We compare the analytical and numerical results. \textcopyright{} 1996 The American Physical Society.
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Cited by 90 references