Journal
JOURNAL OF OPTICS
Volume 15, Issue 6, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/2040-8978/15/6/064010
Keywords
parity-time symmetry; instabilities; rogue wave; nonlinear Schrodinger equation
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Funding
- Fundacao para a Ciencia e a Tecnologia (Portugal) [PEst-C/FIS/UI0607/2011]
- Binational (US-Israel) Science Foundation [2010239]
- Fundacao para a Ciencia e a Technologia (Portugal) [PEst-OE/FIS/UI0618/2011, PTDC/FIS/112624/2009]
- Fundação para a Ciência e a Tecnologia [PEst-C/FIS/UI0607/2011, PTDC/FIS/112624/2009] Funding Source: FCT
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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 (PT)-symmetric system of linearly coupled nonlinear Schrodinger 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 PT -symmetric and antisymmetric bright solitons, the stability region is found too, in an exact analytical form, and verified by means of direct simulations.
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