{"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"}],"status":"public","type":"journal_article","publication":"Journal of Optics","article_number":"064010","language":[{"iso":"eng"}],"_id":"43256","user_id":"49063","department":[{"_id":"293"}],"year":"2013","citation":{"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>.","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>","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>.","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} }","short":"Y.V. Bludov, R. Driben, V.V. Konotop, B.A. Malomed, Journal of Optics 15 (2013)."},"intvolume":"        15","publication_status":"published","issue":"6","title":"Instabilities, solitons and rogue waves in PT-coupled nonlinear waveguides","main_file_link":[{"url":"https://iopscience.iop.org/article/10.1088/2040-8978/15/6/064010"}],"doi":"10.1088/2040-8978/15/6/064010","date_updated":"2023-04-01T21:16:57Z","author":[{"last_name":"Bludov","full_name":"Bludov, Y.V.","first_name":"Y.V."},{"first_name":"R.","last_name":"Driben","full_name":"Driben, R."},{"first_name":"V.V.","full_name":"Konotop, V.V.","last_name":"Konotop"},{"full_name":"Malomed, B.A.","last_name":"Malomed","first_name":"B.A."}],"date_created":"2023-04-01T21:16:54Z","volume":15}