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Effect of an external periodic potential on pairs of dissipative solitons Wonkeun Chang,1
 

Summary: Effect of an external periodic potential on pairs of dissipative solitons
Wonkeun Chang,1
Nail Akhmediev,1
and Stefan Wabnitz2
1
Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra,
Australian Capital Territory 0200, Australia
2
Dipartimento di Elettronica per l'Automazione, University of Brescia, Via Branze 38, 25123 Brescia, Italy
Received 14 May 2009; published 17 July 2009
We study dissipative soliton pair solutions of the complex cubic-quintic Ginzburg-Landau equation with
periodic phase modulation term. The external modulation changes the soliton-pair time separation as well as
their phase difference, without destroying the existing two-soliton bound state. Transitions between different
stable forms of the pair occur in the form of bifurcations. Quite remarkably, two types of bound states may
coexist, which leads to hysteresis loops when the modulation depth is varied.
DOI: 10.1103/PhysRevA.80.013815 PACS number s : 42.65.Tg, 42.55. f, 42.65.Re
I. INTRODUCTION
The master-equation approach describing passively mode-
locked laser systems has been initiated by Haus 1 . In one
form or another, such approach leads to the cubic-quintic

  

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