Exploding soliton and front solutions of the complex cubic–quintic Ginzburg–Landau equation

J.M. Soto-Crespo and Nail Akhmediev

Mathematics and Computers in Simulation (MATCOM), 2005, vol. 69, issue 5, 526-536

Abstract: 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.

Keywords: Ginzburg–Landau equation; Dissipative soliton; Exploding soliton (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:69:y:2005:i:5:p:526-536

DOI: 10.1016/j.matcom.2005.03.006

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