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Stationary and pulsating dissipative light bullets from a collective variable approach A. Kamagate, Ph. Grelu, and P. Tchofo-Dinda
 

Summary: Stationary and pulsating dissipative light bullets from a collective variable approach
A. Kamagate, Ph. Grelu, and P. Tchofo-Dinda
Institut Carnot de Bourgogne, UMR 5209 CNRS, Université de Bourgogne, 9 Avenue Savary, BP 47870, 21078 Dijon Cedex, France
J. M. Soto-Crespo
Instituto de Óptica, C.S.I.C., Serrano 121, 28006 Madrid, Spain
N. Akhmediev
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University,
Canberra ACT 0200, Australia
Received 11 April 2008; published 23 February 2009
A collective variable approach is used to map domains of existence for 3+1 -dimensional spatiotemporal
soliton solutions of a complex cubic-quintic Ginzburg-Landau equation. A rich variety of evolution behaviors,
which include stationary and pulsating dissipative soliton dynamics, is revealed. Comparisons between the
results obtained by the semianalytical approach of collective variables, and those obtained by a purely numeri-
cal approach show good agreement for a wide range of equation parameters. This also demonstrates the
relevance of the semianalytical method for a systematic search of stability domains for spatiotemporal solitons,
leading to a dramatic reduction of the computation time.
DOI: 10.1103/PhysRevE.79.026609 PACS number s : 05.45.Yv, 42.65.Tg, 42.65.Sf, 47.20.Ky
I. INTRODUCTION
In physical systems that exchange energy with the envi-
ronment, an efficient use of nonlinear dissipation allows the

  

Source: Akhmediev, Nail - Research School of Physical Sciences and Engineering, Australian National University
Australian National University, Research School of Physical Sciences and Engineering, Optical Sciences Group

 

Collections: Engineering; Physics