United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS COLLAPSE VERSUS TURBULENCE

We study the solutions of the equations of motion in the gauged (2+1)-dimensional nonlinear Schrödinger model. The contribution of Chern-Simons gauge fields leads to a significant decrease of the critical power of self-focusing. We also show that at appropriate boundary conditions in the considered model there exists a regime of turbulent motions of hydrodynamic type. PACS numbers: 52.35.Ra, 47.20.Ky, 47.27.Ak, 11.15.Kc MIRAMARE – TRIESTE July 1996 Submitted to Physical Review E (Rapid Communications). Permanent address: Institute of Applied Physics, Russian Academy of Sciences, 46 Ul’yanov Street, 603000 Nizhny Novgorod, Russian Federation.