Stability conditions for moving dissipative solitons in one- and multidimensional systems with a linear potential.
We analyze stability of moving dissipative solitons in the one-, two, and three-dimensional cubic-quintic complex Ginzburg-Landau equations in the presence of a linear potential (linear refractive index modulation). The expressions of stability conditions and propagation trajectory of solitons are derived by means of a generalized variational approximation. Predictions of the variational analysis are fully confirmed by direct numerical simulations. The results have potential applications to using spatial dissipative solitons in optics as individually addressable and shift registers of the all-optical data processing systems.
Zhu
Wei-Ling
WL
School of Science, Maoming University, Maoming, Guangdong, 525000, China.
He
Ying-Ji
YJ
D003198:Computer Simulation; D008027:Light; D055096:Optical Devices; D012031:Refractometry / Q000295:instrumentation*