Stabilization of one-dimensional periodic waves by saturation of the nonlinear response.
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.
Kartashov
Yaroslav V
YV
Institut de Ciencies Fotoniques, and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, E-08034 Barcelona, Spain.
Egorov
Alexey A
AA
Zelenina
Anna S
AS
Vysloukh
Victor A
VA
Torner
Lluis
L