Summary: Optical Fiber Technology 13 (2007) 9197
Dissipative solitons with a Lagrangian approach
Adrian Ankiewicz, Nail Akhmediev
, Natasha Devine
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia
Received 16 August 2006; revised 31 October 2006
Available online 12 January 2007
We apply Lagrangian techniques to dissipative systems described by the complex GinzburgLandau equation (CGLE) that is used for modeling
passively mode-locked fiber lasers and all-optical soliton transmission lines. In particular, using Lagrangian equations, we re-derive the known
exact solutions of the CGLE. We also apply the technique to finding approximate solutions for pulsating solitons.
© 2006 Elsevier Inc. All rights reserved.
Keywords: Dissipative solitons; Fiber lasers; Lagrangian approach
The dissipative soliton is a new concept that has been de-
veloped quite recently . It includes ideas from three major
sources, viz. standard soliton theory developed since the 1960s,
principles from nonlinear dynamics theory and Prigogine's