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Physics Letters A 308 (2003) 397404 www.elsevier.com/locate/pla
 

Summary: Physics Letters A 308 (2003) 397­404
www.elsevier.com/locate/pla
Periodic and optical soliton solutions of the quintic complex
Swift­Hohenberg equation
Adrian Ankiewicz a
, Ken-ichi Maruno b,c,
, Nail Akhmediev c
a Applied Photonics Group, Research School of Physical Sciences and Engineering, The Australian National University,
Canberra ACT 0200, Australia
b Research Institute for Applied Mechanics, Kyushu University, Kasuga, Fukuoka 816-8580, Japan
c Optical Sciences Centre, Research School of Physical Sciences and Engineering, The Australian National University,
Canberra ACT 0200, Australia
Received 14 November 2002; accepted 12 January 2003
Communicated by A.R. Bishop
Abstract
Using a direct ansatz approach, we have found a number of periodic zero-velocity analytic solutions of the complex quintic
Swift­Hohenberg equation (CSHE). These find application in assorted optical problems. Particular cases of periodic solutions,
where the elliptic function modulus equals 1, are various localized solutions of the CSHE. Each of these solutions exists for
a certain relation between the parameters of the equation. As a result, they are particular cases of the complete set of periodic
and localised solutions which may exist for this equation. In fact, they are multi-parameter families of solutions and they can

  

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