| 概要 |
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.
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