|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
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
Possibilities for moving solitary waves are discussed on the basis of
the Hamiltonian of the systems.
Last modified Mon Apr 8 16:25:00 GB-Eire 1996