Instabilities, solitons and rogue waves in 𝒫𝒯-coupled nonlinear waveguides
Instabilities, solitons and rogue waves in 𝒫𝒯-coupled nonlinear waveguides
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DOI：
10.1088/2040-8978/15/6/064010
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发表时间：
2013-04
影响因子：
2.1
通讯作者：
Y. Bludov;R. Driben;V. Konotop;B. Malomed
中科院分区：
文献类型：
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作者：
Y. Bludov;R. Driben;V. Konotop;B. Malomed
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 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 𝒫𝒯-symmetric and antisymmetric bright solitons, the stability region is found too, in an exact analytical form, and verified by means of direct simulations.
