Dissipative solitons for generalizations of the cubic complex Ginzburg-Landau equation

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Maria Inês Carvalho (Author) FEUP; Margarida Facão (Author) Other

Journal

Title: Physical review. E

Vol. 100 No. 3

Pages: 1-9

ISSN: 2470-0045

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 4 Citations

INSPEC

Other information

Authenticus ID: P-00R-4VZ

DOI: 10.1103/physreve.100.032222

Abstract (EN): We found stable soliton solutions for two generalizations of the cubic complex Ginzburg-Landau equation, namely, one that includes the term that, in optics, represents a delayed response of the nonlinear gain and the other including the self-steepening term, also in the optical context. These solutions do not require the presence of the delayed response of the nonlinear refractive index, such that, they exist regardless of the term previously considered essential for stabilization. The existence of these solitons was predicted by a perturbation approach, and then confirmed by solving the ordinary differential equations, resulting from a similarity reduction, and also by applying a linear stability analysis. We found that these solitons exist for a large region of the parameter space and possess very asymmetric amplitude profiles as well as a complicated chirp characteristic.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9