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Physics Letters A 347 (2005) 231240 www.elsevier.com/locate/pla
 

Summary: Physics Letters A 347 (2005) 231­240
www.elsevier.com/locate/pla
Dissipative solitons of the discrete complex cubic­quintic
Ginzburg­Landau equation
Ken-ichi Maruno a,b,
, Adrian Ankiewicz b
, Nail Akhmediev b
a Faculty of Mathematics, Kyushu University, Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan
b Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University,
Canberra, ACT 0200, Australia
Received 12 August 2004; accepted 11 August 2005
Available online 19 August 2005
Communicated by A.R. Bishop
Abstract
We study, analytically, the discrete complex cubic­quintic Ginzburg­Landau (dCCQGL) equation with a non-local quintic
term. We find a set of exact solutions which includes, as particular cases, bright and dark soliton solutions, constant magnitude
solutions with phase shifts, periodic solutions in terms of elliptic Jacobi functions in general forms, and various particular
periodic solutions.
2005 Elsevier B.V. All rights reserved.
PACS: 42.65.-k; 42.65.Sf; 42.65.Tg; 46.10.+z; 47.54.+r

  

Source: Akhmediev, Nail - Research School of Physical Sciences and Engineering, Australian National University
Australian National University, Research School of Physical Sciences and Engineering, Optical Sciences Group

 

Collections: Engineering; Physics