title: Noise bandwidth dependence of soliton phase in simulations of stochastic nonlinear Schrödinger equations.
abstract: We demonstrate that soliton perturbation theory, though widely used, predicts an incorrect phase distribution for solitons of stochastically driven nonlinear Schrödinger equations in physically relevant parameter regimes. We propose a simple variational model that accounts for the effect of radiation on phase evolution and correctly predicts its distribution.
authors.affiliation: Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, New Jersey 07102, USA. dc26@njit.edu
authors.forename: Daniel S
authors.initials: DS
authors.lastname: Cargill
authors.forename: Richard O
authors.initials: RO
authors.lastname: Moore
authors.forename: C J
authors.initials: CJ
authors.lastname: McKinstrie