Instabilities, solitons and rogue waves in 풫풯-coupled nonlinear waveguides.

Autor: Bludov, Yu V, Driben, R, Konotop, V V, Malomed, B A
Předmět:
Zdroj: Journal of Optics; Jun2013, Vol. 15 Issue 6, p064010-064016, 7p
Abstrakt: 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 (풫풯)-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 풫풯-symmetric and antisymmetric bright solitons, the stability region is found too, in an exact analytical form, and verified by means of direct simulations. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index