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arXiv · 2012.15538

Parity-time-symmetric vector rational rogue wave solutions in any n-component nonlinear Schrödinger models

Guoqiang Zhang·Liming Ling·Zhenya Yan·Vladimir V. Konotop
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Abstract

The extreme events are investigated for an $n$-component nonlinear Schrödinger ($n$-NLS) system in the focusing Kerr-like nonlinear media, which appears in many physical fields. We report and discuss the novel multi-parametric families of vector rational rogue wave (RW) solutions featuring the parity-time (PT) symmetry, which are characterized by non-identical boundary conditions for the components, and consistent with the degeneracy of $n$ branches of Benjamin-Feir instability. Explicit examples of PT-symmetric vector RWs are presented. Some parameter constraints can make some components generate the RWs with high amplitudes due to many-body resonant interactions.Effect of a non-integrable deformation of the model on the excitation of vector RWs is also discussed. These results will be useful to design the RW experiments in multi-component physical systems.

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Guoqiang Zhang, Liming Ling, Zhenya Yan, Vladimir V. Konotop. 2020-12-31. Parity-time-symmetric vector rational rogue wave solutions in any n-component nonlinear Schrödinger models. https://doi.org/10.1063/5.0048922

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