Stationary localized solutions in the subcritical complex Ginzburg-Landau equation

O. Descalzi, M. Argentina, E. Tirapegui

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

The stationary localized solutions in the subcritical complex Ginzburg-Landau equation are studied. It was showed that pulses in the complete quintic one-dimensional Ginzburg-Landau equation with complex coefficients appear through a saddle-node bifurcation which is determined analytically through a suitable approximation of the explicit form of the pulses. The results are in excellent agreement with direct numerical simulations.
Original languageAmerican English
Pages (from-to)2459-2465
Number of pages7
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number11
DOIs
StatePublished - 1 Jan 2002

Keywords

  • Ginzburg-Landau equation
  • Localized structures
  • Saddle-node bifurcation

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