Soliton Rectangular Pulses and Bound States in a Dissipative System Modeled by the Variable-Coefficients Complex Cubic-Quintic Ginzburg–Landau Equation
- 1 October 2021
- journal article
- research article
- Published by IOP Publishing in Chinese Physics Letters
Abstract
The complex cubic-quintic Ginzburg-Landau equation (CQGLE) is a universal model for describing a dissipative system, especially fiber laser. The analytic one-soliton solution of the variable-coefficients CQGLE is calculated by a modified Hirota method. Then, phenomena of soliton pulses splitting and stable bound states of two solitons are investigated. Moreover, rectangular dissipative soliton pulses of the variable-coefficients CQGLE are realized and controlled effectively in the theoretical research for the first time, which breaks through energy limitation of soliton pulses and is expected to provide theoretical basis for preparation of high-energy soliton pulses in fiber lasers.Keywords
This publication has 49 references indexed in Scilit:
- The Peregrine soliton in nonlinear fibre opticsNature Physics, 2010
- Decomposition of Gauge Potential in Ginzburg–Landau TheoryChinese Physics Letters, 2010
- Dissipative soliton resonance in an all-normaldispersion erbium-doped fiber laserOptics Express, 2009
- Group interactions of dissipative solitons in a laser cavity: the case of 2+1Optics Express, 2004
- Physical mechanisms of the rogue wave phenomenonEuropean Journal of Mechanics - B/Fluids, 2003
- Singularities and special soliton solutions of the cubic-quintic complex Ginzburg-Landau equationPhysical Review E, 1996
- On the Ginzburg-Landau laser mode-locking model with fifth-order saturable absorber termOptics Communications, 1993
- Accurate Monte-Carlo Tests of the Stochastic Ginzburg-Landau Model with Multiplicative Colored NoiseChinese Physics Letters, 1992
- Experimental observation of soliton interaction over long fiber paths: discovery of a long-range interactionOptics Letters, 1989
- Demonstration of soliton transmission over more than 4000 km in fiber with loss periodically compensated by Raman gainOptics Letters, 1988