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Dynamics and interaction of pulses in the modified Manakov model Eduard N. Tsoy *, Nail Akhmediev
 

Summary: Dynamics and interaction of pulses in the modified Manakov model
Eduard N. Tsoy *, Nail Akhmediev
Optical Sciences Group, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, ACT 0200, Australia
Received 22 December 2005; received in revised form 10 April 2006; accepted 8 May 2006
Abstract
The two-component vector nonlinear Schro®dinger equation, with mixed signs of the nonlinear coefficients, is considered. This equa-
tion is integrable by the inverse scattering transform method. The evolution of a single pulse and interaction of pulses are studied. It is
shown that the dynamics of a single pulse is reduced to the scalar nonlinear Schro®dinger equation of focusing or defocusing type, depend-
ing on the initial parameters. It is found that the interaction of pulses results in the appearance of additional solitons and bound states of
several solitons. The asymptotic field profile in the non-soliton regime is also obtained.
” 2006 Elsevier B.V. All rights reserved.
PACS: 05.45.Yv; 42.65.Tg
Keywords: Coupled nonlinear Schro®dinger equations; Vector solitons; The Manakov system; Integrable systems
1. Introduction
A set of coupled nonlinear Schro®dinger (NLS) equations
is a basic model for various physical processes [1]. For
example, it describes the propagation of a light beam with
arbitrary polarization in a self-focusing medium [2], the
continuum limit of the one-dimensional Hubbard model
[3], the averaged dynamics of optical pulses in dispersion-

  

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