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

    35 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

    Fingerprint

    Dive into the research topics of 'Interrelation between various branches of stable solitons in dissipative systems - Conjecture for stability criterion'. Together they form a unique fingerprint.

    Cite this