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Strongly asymmetric soliton explosions Nail Akhmediev
 

Summary: Strongly asymmetric soliton explosions
Nail Akhmediev
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra,
Australian Capital Territory 0200, Australia
J. M. Soto-Crespo
Instituto de Óptica, CSIC, Serrano 121, 28006 Madrid, Spain
(Received 12 April 2004; published 23 September 2004)
We have observed, in numerical simulations, strongly asymmetric soliton explosions in dissipative systems
modeled by the one-dimensional complex cubic-quintic Ginzburg-Landau equation. The explosions occur at
one side of the soliton, in spite of the fact that the initial conditions and the equation itself are symmetric. From
one explosion to the next, the side of the soliton where it occurs alternates, so that the left- and right-hand sides
of the soliton explode successively. We give explanations for this effect based on a linear stability analysis of
the unstable soliton. We also describe the transition from the stationary soliton into the exploding one as a
three-stage process of soliton cooling.
DOI: 10.1103/PhysRevE.70.036613 PACS number(s): 42.65.Tg, 47.20.Ky, 42.81.Dp
I. INTRODUCTION
Dissipative solitons are basic localized modes defining
the dynamics of many systems far from equilibrium. Their
properties are unique and quite different from those of soli-
tons in conservative systems. Several models of dissipative

  

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