Interrelation between various branches of stable solitons in dissipative systems - Conjecture for stability criterion

J. M. Soto-Crespo*, N. Akhmediev, G. Town

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)

Abstract

We show that the complex cubic-quintic Ginzburg-Landau equation has a multiplicity of soliton solutions for the same set of equation parameters. They can either be stable or unstable. We show that the branches of stable solitons can be interrelated, i.e. stable solitons of one branch can be transformed into stable solitons of another branch when the parameters of the system are changed. This connection occurs via some branches of unstable solutions. The transformation occurs at the points of bifurcation. Based on these results, we propose a conjecture for a stability criterion for solitons in dissipative systems.

Original languageEnglish
Pages (from-to)283-293
Number of pages11
JournalOptics Communications
Volume199
Issue number1-4
DOIs
Publication statusPublished - 15 Nov 2001
Externally publishedYes

Keywords

  • Ginzburg-Landau equation
  • Passively mode-locked lasers
  • Soliton
  • Stability criterion

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