GAUSSIAN-BEAM PROPAGATION IN NONLINEAR KERR MEDIUM

In order to investigate propagation of electromagnetic field in dielectric Kerr medium, the nonlinear Schroedinger equation is studied. The method of analysis of spherical data in the inverse scattering transform for arbitrary initial conditions is developed. A special case of Gaussian initial conditions is discussed in detail. Parameters of both the soliton and linear dispersive waves propagating in nonlinear medium are given explicitly in terms of entering Gaussian envelope.