Cascade replication of dissipative solitons

Abstract

We report a new effect of a cascade replication of dissipative solitons from a single one. It is discussed in the framework of a common model based on the one-dimensional cubic-quintic complex Ginzburg-Landau equation in which an additional linear term is introduced to account the perturbation from a particular potential of externally applied force. The effect manifestation is demonstrated on the light beams propagating through a planar waveguide. The waveguide consists of a nonlinear layer able to guide dissipative solitons, and a magneto-optic substrate. In the waveguide an externally applied force is considered to be an inhomogeneous magnetic field which is induced by modulated electric currents flowing along a set of direct conducting wires adjusted on the top of the waveguide.

5 pages, 3 figures

References in corpus (1)

• Soliton splitting by external delta potentials

Cited by in corpus (4)

• Logic gates on stationary dissipative solitons
• Replication of dissipative vortices modeled by the complex Ginzburg-Landau equation
• Induced Waveform Transitions of Dissipative Solitons
• Mutual transitions between stationary and moving dissipative solitons