Transverse instability of incoherent solitons in Kerr media

Juan P. Torres, Charalambos Anastassiou, Mordechai Segev, Marin Soljačic, Demetrios N. Christodoulides
2001 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
We calculate the growth rate of the small-amplitude perturbations superimposed on a one-dimensional soliton that is fully coherent in the self-trapping dimension, yet uniform and partially incoherent in the other transverse dimension. Such solitons become transversely stable only if the correlation distance is below a specific threshold value. We show that this threshold for transverse instability fully coincides with the threshold value for modulational instability.
doi:10.1103/physreve.65.015601 pmid:11800729 fatcat:ut2i7yxzufa7tdu7g4hf47qgou