The European Physical Journal Special Topics

, Volume 223, Issue 1, pp 91–98 | Cite as

Symmetry breaking term effects on explosive localized solitons

Regular Article
Part of the following topical collections:
  1. Localized Structures in Physics and Chemistry

Abstract

We study the influence of an analog of self–steepening (SST), which is a term breaking the T →−T symmetry, on explosive localized solutions for the cubic–quintic complex Ginzburg–Landau equation in the anomalous dispersion regime. We find that while this explosive behavior occurs for a wide range of the parameter s, characterizing SST, the mean distance between explosions diverges close to a critical value sc. After this value the explosive solution becomes a fixed shape soliton that moves at constant speed. The transition between explosive and regular behavior is characterized by a transcritical bifurcation controlled by the SST parameter. We also proposed a mechanism which explains and predicts the mean distance between explosions as a function of s. We are glad to dedicate this article to Professor Helmut R. Brand on occasion of his 60th birthday.

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Copyright information

© EDP Sciences and Springer 2014

Authors and Affiliations

  1. 1.Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los AndesLas Condes, SantiagoChile

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