Manakov solitons and effects of external potential wells

V. S.  Gerdjikov; A. V.  Kyuldjiev; M. D. Todorov

doi:10.3934/proc.2015.0505

Article Contents

2015, Volume 2015: 505-514. Doi: 10.3934/proc.2015.0505 open access

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Manakov solitons and effects of external potential wells

1.
Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee Blvd., Soa 1784
2.
Dept. of Applied Mathematics and Informatics, Technical University of Sofia, 1000 Sofia

Received: September 2014

Revised: April 2015

Published online: November 2015

Abstract / Introduction Related Papers Cited by

Abstract

The effects of the external potential wells on the Manakov soliton interactions using the perturbed complex Toda chain (PCTC) model are analyzed. The superposition of a large number of wells/humps influences stronger the motion of the soliton envelopes and can cause a transition from asymptotically free and mixed asymptotic regime to a bound state regime and vice versa. Such external potentials are easier to implement in experiments and can be used to control the soliton motion in a given direction and to achieve a predicted motion of the optical pulse. A general feature of the conducted numerical experiments is that the long-time evolution of both CTC and PCTC match very well with the Manakov model numerics, often much longer than expected even for 9-soliton train configurations. This means that PCTC is reliable dynamical model for predicting the evolution of the multisoliton solutions of Manakov model in adiabatic approximation.

Keywords:

Perturbed Manakov system,
Complex Toda Chain,
multisoliton evolution in adiabatic approximation.

Mathematics Subject Classification: Primary: 35Q55, 35Q60; Secondary: 37K10, 37K40.

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