Continuous generation of soliton patterns in two-dimensional dissipative media by razor, dagger, and needle potentials.
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.
Liu
Bin
B
State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, 510275, Guangzhou, China.
He
Ying-Ji
YJ
Malomed
Boris A
BA
Wang
Xiao-Sheng
XS
Kevrekidis
Panayotis G
PG
Wang
Tong-Biao
TB
Leng
Feng-Chun
FC
Qiu
Zhi-Ren
ZR
Wang
He-Zhou
HZ