---
_id: '43256'
abstract:
- lang: eng
  text: We considered the modulational instability of continuous-wave backgrounds,
    and the related generation and evolution of deterministic rogue waves in the recently
    introduced parity–time (P T)-symmetric system of linearly coupled nonlinear Schrödinger
    equations, which describes a Kerr-nonlinear optical coupler with mutually balanced
    gain and loss in its cores. Besides the linear coupling, the overlapping cores
    are coupled through the cross-phase-modulation term too. While the rogue waves,
    built according to the pattern of the Peregrine soliton, are (quite naturally)
    unstable, we demonstrate that the focusing cross-phase-modulation interaction
    results in their partial stabilization. For P T-symmetric and antisymmetric bright
    solitons, the stability region is found too, in an exact analytical form, and
    verified by means of direct simulations
article_number: '064010'
author:
- first_name: Y.V.
  full_name: Bludov, Y.V.
  last_name: Bludov
- first_name: R.
  full_name: Driben, R.
  last_name: Driben
- first_name: V.V.
  full_name: Konotop, V.V.
  last_name: Konotop
- first_name: B.A.
  full_name: Malomed, B.A.
  last_name: Malomed
citation:
  ama: Bludov YV, Driben R, Konotop VV, Malomed BA. Instabilities, solitons and rogue
    waves in PT-coupled nonlinear waveguides. <i>Journal of Optics</i>. 2013;15(6).
    doi:<a href="https://doi.org/10.1088/2040-8978/15/6/064010">10.1088/2040-8978/15/6/064010</a>
  apa: Bludov, Y. V., Driben, R., Konotop, V. V., &#38; Malomed, B. A. (2013). Instabilities,
    solitons and rogue waves in PT-coupled nonlinear waveguides. <i>Journal of Optics</i>,
    <i>15</i>(6), Article 064010. <a href="https://doi.org/10.1088/2040-8978/15/6/064010">https://doi.org/10.1088/2040-8978/15/6/064010</a>
  bibtex: '@article{Bludov_Driben_Konotop_Malomed_2013, title={Instabilities, solitons
    and rogue waves in PT-coupled nonlinear waveguides}, volume={15}, DOI={<a href="https://doi.org/10.1088/2040-8978/15/6/064010">10.1088/2040-8978/15/6/064010</a>},
    number={6064010}, journal={Journal of Optics}, author={Bludov, Y.V. and Driben,
    R. and Konotop, V.V. and Malomed, B.A.}, year={2013} }'
  chicago: Bludov, Y.V., R. Driben, V.V. Konotop, and B.A. Malomed. “Instabilities,
    Solitons and Rogue Waves in PT-Coupled Nonlinear Waveguides.” <i>Journal of Optics</i>
    15, no. 6 (2013). <a href="https://doi.org/10.1088/2040-8978/15/6/064010">https://doi.org/10.1088/2040-8978/15/6/064010</a>.
  ieee: 'Y. V. Bludov, R. Driben, V. V. Konotop, and B. A. Malomed, “Instabilities,
    solitons and rogue waves in PT-coupled nonlinear waveguides,” <i>Journal of Optics</i>,
    vol. 15, no. 6, Art. no. 064010, 2013, doi: <a href="https://doi.org/10.1088/2040-8978/15/6/064010">10.1088/2040-8978/15/6/064010</a>.'
  mla: Bludov, Y. V., et al. “Instabilities, Solitons and Rogue Waves in PT-Coupled
    Nonlinear Waveguides.” <i>Journal of Optics</i>, vol. 15, no. 6, 064010, 2013,
    doi:<a href="https://doi.org/10.1088/2040-8978/15/6/064010">10.1088/2040-8978/15/6/064010</a>.
  short: Y.V. Bludov, R. Driben, V.V. Konotop, B.A. Malomed, Journal of Optics 15
    (2013).
date_created: 2023-04-01T21:16:54Z
date_updated: 2023-04-01T21:16:57Z
department:
- _id: '293'
doi: 10.1088/2040-8978/15/6/064010
intvolume: '        15'
issue: '6'
language:
- iso: eng
main_file_link:
- url: https://iopscience.iop.org/article/10.1088/2040-8978/15/6/064010
publication: Journal of Optics
publication_status: published
status: public
title: Instabilities, solitons and rogue waves in PT-coupled nonlinear waveguides
type: journal_article
user_id: '49063'
volume: 15
year: '2013'
...