Summary: Physics Letters A 370 (2007) 454≠458
Dissipative solitons and antisolitons
A. Ankiewicz a
, N. Devine a
, N. Akhmediev a
, J.M. Soto-Crespo b,
a Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia
b Instituto de ”ptica, C.S.I.C., Serrano 121, 28006 Madrid, Spain
Received 29 May 2007; accepted 2 June 2007
Available online 6 June 2007
Communicated by V.M. Agranovich
Using the method of moments for dissipative optical solitons, we show that there are two disjoint sets of fixed points. These correspond to
stationary solitons of the complex cubic≠quintic Ginzburg≠Landau equation with concave and convex phase profiles respectively. Numerical
simulations confirm the predictions of the method of moments for the existence of two types of solutions which we call solitons and antisolitons.
Their characteristics are distinctly different.
© 2007 Elsevier B.V. All rights reserved.
PACS: 42.65.-k; 47.20.Ky; 47.25.Qv
The complex Ginzburg≠Landau equation (CGLE) describes