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Interactions of bright and dark solitons with localized P T-symmetric potentials

Karjanto, N and Hanif, W and Malomed, BA and Susanto, H (2015) 'Interactions of bright and dark solitons with localized P T-symmetric potentials.' Chaos, 25 (2). ISSN 1054-1500

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Abstract

© 2015 AIP Publishing LLC. We study collisions of moving nonlinear-Schrödinger solitons with a PT-symmetric dipole embedded into the one-dimensional self-focusing or defocusing medium. Accurate analytical results are produced for bright solitons, and, in a more qualitative form, for dark ones. In the former case, an essential aspect of the approximation is that it must take into regard the intrinsic chirp of the soliton, thus going beyond the framework of the simplest quasi-particle description of the soliton's dynamics. Critical velocities separating reflection and transmission of the incident bright solitons are found by means of numerical simulations, and in the approximate semi-analytical form. An exact solution for the dark soliton pinned by the complex PT-symmetric dipole is produced too.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Jim Jamieson
Date Deposited: 24 Jun 2015 19:47
Last Modified: 30 Jan 2019 16:19
URI: http://repository.essex.ac.uk/id/eprint/14069

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