Karjanto, N and Hanif, W and Malomed, BA and Susanto, H (2015) Interactions of bright and dark solitons with localized PT-symmetric potentials. Chaos: An Interdisciplinary Journal of Nonlinear Science, 25 (2). 023112-023112. DOI https://doi.org/10.1063/1.4907556
Karjanto, N and Hanif, W and Malomed, BA and Susanto, H (2015) Interactions of bright and dark solitons with localized PT-symmetric potentials. Chaos: An Interdisciplinary Journal of Nonlinear Science, 25 (2). 023112-023112. DOI https://doi.org/10.1063/1.4907556
Karjanto, N and Hanif, W and Malomed, BA and Susanto, H (2015) Interactions of bright and dark solitons with localized PT-symmetric potentials. Chaos: An Interdisciplinary Journal of Nonlinear Science, 25 (2). 023112-023112. DOI https://doi.org/10.1063/1.4907556
Abstract
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 |
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Additional Information: | 12 pages, 5 figures |
Uncontrolled Keywords: | nlin.PS; physics.optics; 35Q55, 35C08, 37K40 |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 24 Jun 2015 19:47 |
Last Modified: | 07 Aug 2024 19:53 |
URI: | http://repository.essex.ac.uk/id/eprint/14069 |
Available files
Filename: 1401.4241v2.pdf