title: Continuous generation of soliton patterns in two-dimensional dissipative media by razor, dagger, and needle potentials.
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 < or = 5, or expanding polygonal chains of solitons for M > or = 6. In the conical geometry, these are concentric waves expanding in the radial direction.
authors.affiliation: State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, 510275, Guangzhou, China.
authors.forename: Bin
authors.initials: B
authors.lastname: Liu
authors.forename: Ying-Ji
authors.initials: YJ
authors.lastname: He
authors.forename: Boris A
authors.initials: BA
authors.lastname: Malomed
authors.forename: Xiao-Sheng
authors.initials: XS
authors.lastname: Wang
authors.forename: Panayotis G
authors.initials: PG
authors.lastname: Kevrekidis
authors.forename: Tong-Biao
authors.initials: TB
authors.lastname: Wang
authors.forename: Feng-Chun
authors.initials: FC
authors.lastname: Leng
authors.forename: Zhi-Ren
authors.initials: ZR
authors.lastname: Qiu
authors.forename: He-Zhou
authors.initials: HZ
authors.lastname: Wang