Stability of traveling pulses of cubic-quintic complex Ginzburg-Landau equation including intrapulse Raman scattering
Stability of traveling pulses of cubic-quintic complex Ginzburg-Landau equation including intrapulse Raman scattering
dc.contributor.author | Maria Inês Carvalho | en |
dc.contributor.author | M. Facão | en |
dc.date.accessioned | 2017-11-16T14:04:04Z | |
dc.date.available | 2017-11-16T14:04:04Z | |
dc.date.issued | 2011 | en |
dc.description.abstract | 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. | en |
dc.identifier.uri | http://repositorio.inesctec.pt/handle/123456789/2742 | |
dc.language | eng | en |
dc.relation | 5135 | en |
dc.rights | info:eu-repo/semantics/openAccess | en |
dc.title | Stability of traveling pulses of cubic-quintic complex Ginzburg-Landau equation including intrapulse Raman scattering | en |
dc.type | article | en |
dc.type | Publication | en |