title: Transverse instability of incoherent solitons in Kerr media.
abstract: 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.
authors.affiliation: Department of Signal Theory and Communications, Polytechnic University of Catalonia, 08034 Barcelona, Spain.
authors.forename: Juan P
authors.initials: JP
authors.lastname: Torres
authors.forename: Charalambos
authors.initials: C
authors.lastname: Anastassiou
authors.forename: Mordechai
authors.initials: M
authors.lastname: Segev
authors.forename: Marin
authors.initials: M
authors.lastname: Soljacic
authors.forename: Demetrios N
authors.initials: DN
authors.lastname: Christodoulides