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Physics Letters A 362 (2007) 3136 www.elsevier.com/locate/pla
 

Summary: Physics Letters A 362 (2007) 31­36
www.elsevier.com/locate/pla
Creeping solitons of the complex Ginzburg­Landau equation
with a low-dimensional dynamical system model
Wonkeun Chang, Adrian Ankiewicz
, Nail Akhmediev
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, ACT 0200, Australia
Received 26 September 2006; accepted 1 October 2006
Available online 6 October 2006
Communicated by V.M. Agranovich
Abstract
We study creeping solitons of the complex Ginzburg­Landau equation (CGLE) using numerical simulations and analyze them with a low-
dimensional model using the method of moments. We find the regions of existence of creeping solitons in the parameter space of the CGLE. We
also provide a comparison with exact results obtained using numerical simulations.
Crown Copyright © 2006 Published by Elsevier B.V. All rights reserved.
PACS: 04.30.Nk; 05.45.Yv; 42.65.Sf; 42.65.Tg
Keywords: Dissipative soliton; Method of moments; Ginzburg­Landau equation
1. Introduction
A creeping soliton is a special type of pulsating localized
solution that changes its shape periodically and shifts a finite

  

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