We review a recent mean-field statistical model of self-organization in a generic class of focusing, nonintegrable nonlinear Schrödinger (NLS) equations. Such equations provide natural prototypes for nonlinear dispersive wave turbulence. The main conclusion of the theory is that the...

In this paper we generalize a canonical model, recently proposed by us [Phys. Rew. E 58 (1998) 5574 and Phys. A 255 (1998) 474], describing a quantum system of particles obeying to a exclusion–inclusion principle. In the new model the system is coupled in a minimal fashion with an Abelian...

We calculate the response of a two-level system to a monochromatic excitation in the framework of a nonlinear homogeneous dissipative generalization of the Schrödinger equation. Non-Lorentzian dependences of the real and imaginary parts of the dynamical response function on the frequency are...