article published Y.V. Bludov author R. Driben author V.V. Konotop author B.A. Malomed author 293 department 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 2013 eng 10.1088/2040-8978/15/6/064010 156 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> 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>. 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>. Y.V. Bludov, R. Driben, V.V. Konotop, B.A. Malomed, Journal of Optics 15 (2013). 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>. @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} } 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> 432562023-04-01T21:16:54Z2023-04-01T21:16:57Z