分野別セミナー

We consider the stability of stationary solution for the
Lugiato-Lefever equation with periodic boundary condition under
perturbation of additive noise, to which is referred as (LL). The
(LL) equation is a nonlinear Schrodinger equation with damping
and spatially homogeneous forcing terms, which describes a
physical model of a unidirectional ring or Fabry-Perot cavity
with plane mirrors containing a Kerr medium driven by a coherent
plane-wave field. The stationary solution of (LL) is called a
"Cavity Sliton". We show the stability of certain stationary
solutions under the perturbation of additive noise from a
viewpoint of the Freidlin-Wentzell type large deviation
principle. This is a joint work with T. Miyaji and I. Ohnishi,
Hiroshima University.