Sources and sinks in the vicinity of a weakly inverted instability

Jaime Cisternas*, Orazio Descalzi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The dynamics of perturbations around sinks and sources of traveling waves (TW) is studied in the cubic-quintic Ginzburg-Landau equation from an analytical point of view. Perturbations generically propagate in a direction opposite to the TW. Thus, a sink of TW is a source of perturbations and vice versa. For small values of time we predict there is a lower bound for the group velocity. For large values of time we predict the asymptotic value of the group velocity of the wave packet. Both predictions are in good agreement with direct numerical simulations.

Original languageEnglish
Pages (from-to)2821-2826
Number of pages6
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number8
StatePublished - Aug 2007

Bibliographical note

Funding Information:
O. Descalzi wishes to thank the support of FAI (Project No. ICIV-001-06), FONDECYT (Project No. 1070098) and Project Anillo en Ciencia y Tec-nología ACT15. J. Cisternas thanks FONDECYT (Project No. 1070098) for financial support.


  • Cubic-quintic Ginzburg-Landau equation
  • Dissipative dark solitons
  • Sinks
  • Sources


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