title: Fokker-Planck equation for transport of wave packets in nonlinear disordered media.
abstract: Starting from first principles, we formulate a theory of wave-packet propagation in a nonlinear, disordered medium of any dimension, through the derivation of a Fokker-Planck transport equation. Our theory is based on a diagrammatic expansion of the wave packet's density, and is supported by a heuristic picture that involves a Boltzmann equation with an effective, external potential. Our approach also confirms results obtained in previous work for two-dimensional, nonlinear disordered media.
authors.affiliation: Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder Strasse 3, D-79104 Freiburg, Germany.
authors.forename: Nicolas
authors.initials: N
authors.lastname: Cherroret
authors.forename: Thomas
authors.initials: T
authors.lastname: Wellens