Continuous generation of soliton patterns in two-dimensional dissipative media by razor, dagger, and needle potentials
Publication Date
2010
Journal or Book Title
OPTICS LETTERS
Abstract
We report dynamic regimes supported by a sharp quasi-one-dimensional (1D) (“razor”), pyramid-shaped (“dagger”), and conical (“needle”) potentials in the 2D complex Ginzburg–Landau (CGL) equation with cubic-quintic nonlinearity. This is a model of an active optical medium with respective expanding antiwaveguiding structures. If the potentials are strong enough, they give rise to continuous generation of expanding soliton patterns by a 2D soliton initially placed at the center. In the case of the pyramidal potential with M edges, the generated patterns are sets of M jets for M≤5, or expanding polygonal chains of solitons for M≥6. In the conical geometry, these are concentric waves expanding in the radial direction.
Pages
1974-1976
Volume
35
Issue
12
Recommended Citation
Liu, B; He, YJ; Malomed, BA; Wang, XS; Kevrekidis, PG; Wang, TB; Leng, FC; Qiu, ZR; and Wang, HZ, "Continuous generation of soliton patterns in two-dimensional dissipative media by razor, dagger, and needle potentials" (2010). OPTICS LETTERS. 20.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/20
Comments
The published version is located at http://www.opticsinfobase.org/ol/abstract.cfm?uri=ol-35-12-1974