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

نویسندگان

  • José-María Soto-Crespo
  • Nail Akhmediev
چکیده

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 IMACS. Published by Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Mathematics and Computers in Simulation

دوره 69  شماره 

صفحات  -

تاریخ انتشار 2005