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 AngelisDipartimento di elettronica e informatica, Universitá di Padova, via Gradenigo 6/A, 35131 Padova, ItalyThomas 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. TrilloFondazione UGO BORDONI, via B. Castiglione 59, 00142 Rome, ItalyS. WabnitzFondazione UGO BORDONI, via B. Castiglione 59, 00142 Rome, Italy
1996en
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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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