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Partially coherent solitons of variable shape in a slow Kerr-like medium: Exact solutions Adrian Ankiewicz,1
 

Summary: Partially coherent solitons of variable shape in a slow Kerr-like medium: Exact solutions
Adrian Ankiewicz,1
Wieslaw KroŽlikowski,2
and Nail N. Akhmediev1
1
Australian Photonics CRC, Optical Sciences Centre, Research School of Physical Sciences and Engineering,
The Australian National University, Canberra 0200, Australian Capital Territory, Australia
2
Australian Photonics CRC, Laser Physics Centre, Research School of Physical Sciences and Engineering,
The Australian National University, Canberra 0200, Australian Capital Territory, Australia
Received 25 September 1998
We carry out a theoretical investigation of the properties of partially coherent solitons for media which have
a slow Kerr-like nonlinearity. We find exact solutions of the Nth-order Manakov equations in a general form.
These describe partially coherent solitons PCSs and their collisions. In fact, the exact solutions allow us to
analyze important properties of PCSs such as stationary profiles of the spatial beams and effects resulting from
their collisions. In particular, we find, analytically, the number of parameters that control the soliton shape. We
present profiles which are symmetric as well as those which are asymmetric. We also find that collisions allow
the profiles to remain stationary but cause their shapes to change. S1063-651X 99 08705-X
PACS number s : 42.65.Tg
I. INTRODUCTION

  

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

 

Collections: Physics; Engineering