Summary: Mathematics and Computers in Simulation 69 (2005) 526536
Exploding soliton and front solutions of the complex
cubicquintic GinzburgLandau equation
J.M. Soto-Crespoa,, Nail Akhmedievb
Instituto de ´Optica, C.S.I.C., Serrano 121, 28006 Madrid, Spain
Optical Sciences Centre, Research School of Physical Sciences and Engineering, The Australian
National University, Canberra, ACT 0200, Australia
Available online 6 June 2005
We present a study of exploding soliton and front solutions of the complex cubicquintic GinzburgLandau
(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.
Keywords: GinzburgLandau equation; Dissipative soliton; Exploding soliton
Localized solutions in dissipative systems reveal some unusual properties that are unknown for such