Spectral incoherent solitons (SIS) refer to an incoherent solitonic structure that only can be identified in the frequency domain and which is sustained by noninstantaneous Raman-like nonlinearities. We provide a generalized formulation of SIS by considering the generalized nonlinear Schrödinger equation. We show that nonlinear dispersive effects (e.g., self-steepening) dramatically affect the structure of SIS, in particular by significantly decelerating their spectral velocity in frequency space. The wave turbulence description of the problem reveals an underlying self-organization process: the soliton trajectory in frequency space is selected in such a way that it allows the system to self-organize into a stationary SIS state.
© 2014 Optical Society of America
Original Manuscript: May 16, 2014
Manuscript Accepted: June 7, 2014
Published: July 10, 2014
Gang Xu, Josselin Garnier, Matteo Conforti, and Antonio Picozzi, "Generalized description of spectral incoherent solitons," Opt. Lett. 39, 4192-4195 (2014)