Pulse solutions of the cubic-quintic complex Ginzburg-Landau equation in the case of normal dispersion
Authors: Soto-Crespo J.M., Akhmediev N.N., Afanasjev V.V., Wabnitz S.
Autors Affiliation: Instituto de Óptica, Consejo Superior de Investigaciones Científicas, Serrano 121, Madrid, 28006, Spain; Optical Sciences Centre, The Australian National University, Canberra, ACT, 0200, Australia; Laboratoire de Physique, Universitéde Bourgogne, Avenue Alain Savary, Dijon, 21004, France
Abstract: Time-localized solitary wave solutions of the one-dimensional complex Ginzburg-Landau equation (CGLE) are analyzed for the case of normal group-velocity dispersion. Exact soliton solutions are found for both the cubic and the quintic CGLE. The stability of these solutions is investigated numerically. The regions in the parameter space in which stable pulselike solutions of the quintic CGLE exist are numerically determined. These regions contain subspaces where analytical solutions may be found. An investigation of the role of group-velocity dispersion changes in magnitude and sign on the spectral and temporal characteristics of the stable pulse solutions is also carried out.
Journal/Review: PHYSICAL REVIEW E
Volume: 55 (4) Pages from: 4783 to: 4796
KeyWords: Traveling-wave convection; Fiber ring laser; Mode-locked lasersDOI: 10.1103/PhysRevE.55.4783Citations: 143data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-11-27References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here