Intermittency and Solitons in the Driven Dissipative Nonlinear Schrödinger Equation

Abstract

The cubic nonlinear Schrödinger equation, in the presence of driving and Landau damping, is studied numerically. As the pump intensity is increased, the system exhibits a transition from intermittency to a two-torus to chaos. The laminar phase of the intermittency is also a two-torus motion which corresponds in physical space to two identical solitons of amplitude determined by a power-balance equation.