Induced Waveform Transitions of Dissipative Solitons

TL;DR

This paper demonstrates how external potentials can induce controllable waveform transitions in dissipative solitons described by the cubic-quintic complex Ginzburg-Landau equation, enabling transformations between various soliton states and complex structures.

Contribution

It introduces a method to control dissipative soliton waveforms using variable external potentials within the Ginzburg-Landau framework, revealing new transition mechanisms.

Findings

Potential profiles can induce transitions between soliton waveforms.

Controlled transformations include stationary, periodic, and chaotic structures.

External forces enable waveform manipulation without changing physical conditions.

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.