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Soliton complexes in dissipative systems: Vibrating, shaking, and mixed soliton pairs J. M. Soto-Crespo
 

Summary: Soliton complexes in dissipative systems: Vibrating, shaking, and mixed soliton pairs
J. M. Soto-Crespo
Instituto de Óptica, CSIC, Serrano 121, 28006 Madrid, Spain
Ph. Grelu
Laboratoire de Physique, de l'Université de Bourgogne, UMR CNRS 5027, Faculté des Sciences Mirande,
Avenue Savary, Boîte Postale 47870, 21078 Dijon Cedex, France
N. Akhmediev and N. Devine
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University,
Canberra Australian Capital Territory 0200, Australia
Received 17 November 2006; published 25 January 2007
We show, numerically, that coupled soliton pairs in nonlinear dissipative systems modeled by the cubic-
quintic complex Ginzburg-Landau equation can exist in various forms. They can be stationary, or they can
pulsate periodically, quasiperiodically, or chaotically, as is the case for single solitons. In particular, we have
found various types of vibrating and shaking soliton pairs. Each type is stable in the sense that a given bound
state exists in the same form indefinitely. New solutions appear at special values of the equation parameters,
thus bifurcating from stationary pairs. We also report the finding of mixed soliton pairs, formed by two
different types of single solitons. We present regions of existence of the pair solutions and corresponding
bifurcation diagrams.
DOI: 10.1103/PhysRevE.75.016613 PACS number s : 42.65.Tg, 47.20.Ky
I. INTRODUCTION

  

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