Abstract

In spatially extended convective systems, the reflection symmetry breaking induced by drift effects leads to a striking nonlinear effect that drastically affects the formation and stability of dissipative solitons in optical parametric oscillators. The phenomenon of nonlinear-induced convection dynamics is revealed using a model of the complex quintic Ginzburg–Landau equation with nonlinear gradient terms in it. Mechanisms leading to stabilization of dissipative solitons by convection are singled out. The predictions are in very good agreement with numerical solutions found from the governing equations of the optical parametric oscillators.

© 2011 Optical Society of America

Two-dimensional dissipative solitons supported by localized gain

Yaroslav V. Kartashov, Vladimir V. Konotop, and Victor A. Vysloukh
Opt. Lett. 36(1) 82-84 (2011)

Control of dissipative solitons in a magneto-optic planar waveguide

Bogdan A. Kochetov, Iaroslavna Vasylieva, Lyudmila A. Kochetova, Hong-Bo Sun, and Vladimir R. Tuz
Opt. Lett. 42(3) 531-534 (2017)

Stability conditions for moving dissipative solitons in one- and multidimensional systems with a linear potential

Wei- Ling Zhu and Ying-Ji He
Opt. Express 18(16) 17053-17058 (2010)

Curvature dynamics and stability of topological solitons in the optical parametric oscillator

J. Nathan Kutz, Thomas Erneux, Stefano Trillo, and Marc Haelterman
J. Opt. Soc. Am. B 16(11) 1936-1941 (1999)

Stability properties of multiwavelength, incoherent, dissipative spatial solitons

E. A. Ultanir, G. I. Stegeman, and C. H. Lange
Opt. Lett. 30(5) 531-533 (2005)