Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology,
Heriot-Watt University, Edinburgh, July 95

Two-Dimensional Solitary Waves in Arrays of Nonlinear Waveguides

T. Peschel and F. Lederer

Institut für Festkörpertheorie und Theoretische Optik
Friedrich-Schiller-Universität Jena,
Max-Wien-Platz 1, 07743 Jena, Germany


Using both a variational and a fully numerical approach we derive solutions to the two-dimensional Discrete Nonlinear Schrödinger Equation which describes stationary optical beams in two-dimensional arrays of nonlinear waveguides. We compare our results to the respective solutions for the time- dependent case in a one-dimensional DNLS, which in contrast to the above fully discrete one represents a mixed discrete-continuous system. Possibilities for moving solitary waves are discussed on the basis of the Hamiltonian of the systems.

Conference paper.


Last modified Mon Apr 8 16:25:00 GB-Eire 1996 (DBD)