Collapse Turbulence in Nonlinear Schrödinger Equation

We consider a nonlinear Schrodinger equation (NLS) with dissipation and forcing in critical dimension. Without both linear and nonlinear dissipation NLS results in a finite‐time singularity (collapse) for any initial conditions. Dissipation ensures collapse regularization. If dissipation is small then multiple near‐singular collapses are randomly distributed in space and time forming collapse turbulence. Collapses are responsible for non‐Gaussian tails in the probability distribution function of amplitude fluctuations which makes turbulence strong. Power law of non‐Gaussian tails is obtained for strong NLS turbulence.