Beyond leading order logarithmic scaling in the catastrophic self-focusing (collapse) of a laser beam in Kerr media

Pavel M. Lushnikov, Sergey A. Dyachenko, Natalia Vladimirova

We study the catastrophic stationary self-focusing (collapse) of laser beam in nonlinear Kerr media. The width of a self-similar solutions near collapse distance $z=z_c$ obeys $(z_…