title: Stabilization of one-dimensional periodic waves by saturation of the nonlinear response.
abstract: We address the properties of (1+1)-dimensional periodic waves in conservative saturable cubic nonlinear media and discover that cnoidal- and snoidal-type waves are completely stable within a broad range of parameters. The existence of stability bands is in sharp contrast with the previously known properties of periodic waves in self-focusing Kerr nonlinear media. We also found that in self-defocusing media instability bands occur, again in contrast to the case of Kerr media.
authors.affiliation: Institut de Ciencies Fotoniques, and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, E-08034 Barcelona, Spain.
authors.forename: Yaroslav V
authors.initials: YV
authors.lastname: Kartashov
authors.forename: Alexey A
authors.initials: AA
authors.lastname: Egorov
authors.forename: Anna S
authors.initials: AS
authors.lastname: Zelenina
authors.forename: Victor A
authors.initials: VA
authors.lastname: Vysloukh
authors.forename: Lluis
authors.initials: L
authors.lastname: Torner