In the regime of normal dispersion and low-frequency detunings (or high powers), four-wave mixing is shown to undergo a hydrodynamic type of instability. Such instability involves the formation of shocks (steep fronts) from smooth initial data that are regularized through the appearance of trains of fast oscillations, which exhibit solitonlike behavior, colliding elastically.
© 2010 Optical Society of America
Original Manuscript: September 3, 2010
Revised Manuscript: October 24, 2010
Manuscript Accepted: October 25, 2010
Published: November 23, 2010
Stefano Trillo and Alessandro Valiani, "Hydrodynamic instability of multiple four-wave mixing," Opt. Lett. 35, 3967-3969 (2010)