We show that second-harmonic generation in the regime of weak dispersion/diffraction can exhibit a coexistence of wave breaking mechanisms, such that a gradient catastrophe yielding a dispersive shock wave competes with modulational instability, leading to the generation of wavetrains with incommensurate frequencies and eventually to the destruction of the shock wave-train.
© 2013 Optical Society of America
Original Manuscript: February 20, 2013
Revised Manuscript: April 4, 2013
Manuscript Accepted: April 5, 2013
Published: May 9, 2013
M. Conforti, F. Baronio, and S. Trillo, "Competing wave-breaking mechanisms in quadratic media," Opt. Lett. 38, 1648-1650 (2013)