Plain and oscillatory solitons of the cubic complex Ginzburg-Landau equation with nonlinear gradient terms

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Facao, M (Autor) Outra; Maria Inês Barbosa de Carvalho (Autor) FEUP

Revista

Título: Physical review. E

Vol. 96

ISSN: 2470-0045

Editora: American Physical Society

Indexação

ISI Web of Knowledge - 8 Citações

Scopus - 10 Citações

Outras Informações

ID Authenticus: P-00N-6FR

DOI: 10.1103/physreve.96.042220

Abstract (EN): In this work, we present parameter regions for the existence of stable plain solitons of the cubic complex Ginzburg-Landau equation (CGLE) with higher-order terms associated with a fourth-order expansion. Using a perturbation approach around the nonlinear Schrdinger equation soliton and a full numerical analysis that solves an ordinary differential equation for the soliton profiles and using the Evans method in the search for unstable eigenvalues, we have found that the minimum equation allowing these stable solitons is the cubic CGLE plus a term known in optics as Raman-delayed response, which is responsible for the redshift of the spectrum. The other favorable term for the occurrence of stable solitons is a term that represents the increase of nonlinear gain with higher frequencies. At the stability boundary, a bifurcation occurs giving rise to stable oscillatory solitons for higher values of the nonlinear gain. These oscillations can have very high amplitudes, with the pulse energy changing more than two orders of magnitude in a period, and they can even exhibit more complex dynamics such as period-doubling.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9