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

N. Karjanto, W. Hanif, B. A. Malomed, H. Susanto

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

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.

Original languageEnglish
Article number023112
JournalChaos
Volume25
Issue number2
DOIs
Publication statusPublished - Feb 23 2015
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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