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

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. © 2005 Elsevier B.V. All rights reserved.The work of J.M.S.C. was supported by the Dirección General de Enseñanza Superior under contract BFM2003-00427.Peer Reviewe

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

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