Two-dimensional solitary waves in arrays of nonlinear waveguides
Thomas Peschel and F. Lederer, Jena
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.
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