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Phys. Rev. E 53, 1172–1189 (1996)

Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays

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A. B. Aceves
Department of Mathematics and Statistics, University of New Mexico, Albuquerque, New Mexico 87131

C. De Angelis
Dipartimento di Elettronica e Informatica, Universita’ di Padova, Via Gradenigo 6/a, 35131 Padova, Italy

T. Peschel, R. Muschall, and F. Lederer
University of Jena, Faculty of Physics and Astronomy, Max-Wien-Platz 1, 07743 Jena, Germany

S. Trillo and S. Wabnitz
Fondazione Ugo Bordoni, Via B. Castiglione 59, 00142 Rome, Italy

Received 16 June 1995; published in the issue dated January 1996

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. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.53.1172
DOI:
10.1103/PhysRevE.53.1172
PACS:
42.81.Qb, 42.65.Tg, 63.20.Pw, 46.10.+z