Induced Waveform Transitions of Dissipative Solitons

Abstract

The effect of an externally applied force upon dynamics of dissipative solitons is analyzed in the framework of the one-dimensional cubic-quintic complex Ginzburg-Landau equation supplemented by a linear potential term. The potential accounts for the external force manipulations and consists of three symmetrically arranged potential wells whose depth is considered to be variable along the longitudinal coordinate. It is found out that under an influence of such potential a transition between different soliton waveforms coexisted under the same physical conditions can be achieved. A low-dimensional phase-space analysis is applied in order to demonstrate that by only changing the potential profile, transitions between different soliton waveforms can be performed in a controllable way. In particular, it is shown that by means of a selected potential, propagating stationary dissipative soliton can be transformed into another stationary solitons as well as into periodic, quasi-periodic, and chaotic spatiotemporal dissipative structures.

8 pages, 5 figures

References in corpus (3)

• Dynamics and stability of dark solitons in exciton-polariton condensates
• Soliton splitting by external delta potentials
• Cascade replication of dissipative solitons

Cited by in corpus (5)

• Logic gates on stationary dissipative solitons
• Replication of dissipative vortices modeled by the complex Ginzburg-Landau equation
• Two-color flat-top solitons in microresonator-based optical parametric oscillators
• Spontaneous and engineered transformations of topological structures in nonlinear media with gain and loss
• Mutual transitions between stationary and moving dissipative solitons