We investigate dispersive shock waves developing via a gradient catastrophe during propagation of a dark beam in Kerr defocusing media, showing that a good degree of control, and even shock suppression, is possible by introducing a suitable phase chirp. Insight into the process is obtained by means of a suitable reduction of the hydrodynamic limit of the governing nonlinear Schrödinger equation.
© 2010 Optical Society of America
Original Manuscript: August 9, 2010
Revised Manuscript: November 8, 2010
Manuscript Accepted: November 11, 2010
Published: December 15, 2010
S. Malaguti, A. Corli, and S. Trillo, "Control of gradient catastrophes developing from dark beams," Opt. Lett. 35, 4217-4219 (2010)