Stability of traveling pulses of cubic-quintic complex Ginzburg-Landau equation including intrapulse Raman scattering

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Margarida Facao (Author) FEUP; Maria Inês Barbosa De Carvalho (Author) FEUP

Journal

Title: Physics Letters A

Vol. 375

Pages: 2327-2332

ISSN: 0375-9601

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 13 Citations

Scopus - 14 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-002-QGG

DOI: 10.1016/j.physleta.2011.04.051

Abstract (EN): The complex cubic-quintic Ginzburg-Landau equation (CGLE) admits a special type of solutions called eruption solitons. Recently, the eruptions were shown to diminish or even disappear if a term of intrapulse Raman scattering (IRS) is added, in which case, self-similar traveling pulses exist. We perform a linear stability analysis of these pulses that shows that the unstable double eigenvalues of the erupting solutions split up under the effect of IRS and, following a different trajectory, they move on to the stable half-plane. The eigenfunctions characteristics explain some eruptions features. Nevertheless, for some CGLE parameters, the IRS cannot cancel the eruptions, since pulses do not propagate for the required IRS strength.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6