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3 December 2001 Physics Letters A 291 (2001) 115123

Summary: 3 December 2001
Physics Letters A 291 (2001) 115≠123
Simultaneous existence of a multiplicity of stable and unstable
solitons in dissipative systems
J.M. Soto-Crespo a,
, Nail Akhmediev b,c
, Kin S. Chiang c
a Instituto de ”ptica, CSIC, Serrano 121, 28006 Madrid, Spain
b Australian Photonics CRC, Optical Science Centre, Research School of Physics Science and Engineering, Australian National University,
Canberra ACT 0200, Australia
c Department of Electronic Engineering, City University of Hong Kong, Hong Kong
Received 10 July 2001; accepted 26 September 2001
Communicated by A.R. Bishop
We show that dissipative systems can have a multiplicity of stationary solutions in the form of both stable and unstable
solitons. As a model equation, we use the complex cubic≠quintic Ginzburg≠Landau equation. For a given set of the equation
parameters, this equation has many coexisting soliton solutions. Our stability results show that although most of them are
unstable, they can have stable pieces. This partial stability leads to the phenomenon of soliton explosion. 2001 Elsevier
Science B.V. All rights reserved.


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