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Exploding Soliton and Front Solutions of the Complex Cubic-Quintic Ginzburg-Landau Equation

Soto-Crespo, Jose M; Akhmediev, Nail

Description

We present a study of exploding soliton and front solutions of the complex cubic-quintic Ginzburg-Landau (CGLE) equation. We show that exploding fronts occur in a region of the parameter space close to that where exploding solitons exist. Explosions occur when eigenvalues in the linear stability analysis for the ground-state stationary solitons have positive real parts. We also study transition from exploding fronts to exploding solitons and observed extremely asymmetric soliton explosions.

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
URI: http://hdl.handle.net/1885/81201
Source: Mathematics and Computers in Simulation
DOI: 10.1016/j.matcom.2005.03.006

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