Nonlinear waves in -symmetric systems

VV Konotop, J Yang, DA Zezyulin - Reviews of Modern Physics, 2016 - APS
Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

Nonlinear switching and solitons in PT‐symmetric photonic systems

SV Suchkov, AA Sukhorukov, J Huang… - Laser & Photonics …, 2016 - Wiley Online Library
One of the challenges of the modern photonics is to develop all‐optical devices enabling
increased speed and energy efficiency for transmitting and processing information on an …

Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems

S Chen, F Baronio, JM Soto-Crespo… - Journal of Physics A …, 2017 - iopscience.iop.org
This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

Recent progress in investigating optical rogue waves

N Akhmediev, JM Dudley, DR Solli… - Journal of optics, 2013 - iopscience.iop.org
The science of rogue waves in optics is now over five years old, and it has emerged as an
area of broad interest to researchers across the physical sciences [1]. This area of study was …

Vector rogue waves in the Manakov system: diversity and compossibility

S Chen, D Mihalache - Journal of Physics A: Mathematical and …, 2015 - iopscience.iop.org
We employ a nonrecursive Darboux transformation formalism for obtaining a hierarchy of
rogue wave solutions to the focusing vector nonlinear Schrödinger equations (Manakov …

Switching using PT symmetry in plasmonic systems: positive role of the losses

A Lupu, H Benisty, A Degiron - Optics express, 2013 - opg.optica.org
We analyze the operation of 2× 2 switches composed of two coupled waveguides operating
on the basis of parity-time (PT) symmetry: the two waveguides differ through their gain or …

Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation

XY Wen, Z Yan - Chaos: An Interdisciplinary Journal of Nonlinear …, 2015 - pubs.aip.org
We study higher-order rogue wave (RW) solutions of the coupled integrable dispersive AB
system (also called Pedlosky system), which describes the evolution of wave-packets in a …

Nonlocal -component nonlinear Schrödinger equations: Bright solitons, energy-sharing collisions, and positons

J Rao, J He, T Kanna, D Mihalache - Physical Review E, 2020 - APS
The general set of nonlocal M-component nonlinear Schrödinger (nonlocal M-NLS)
equations obeying the PT-symmetry and featuring focusing, defocusing, and mixed …

[HTML][HTML] Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric potential

D Sinha, PK Ghosh - Physics Letters A, 2017 - Elsevier
A two component nonlocal vector nonlinear Schrödinger equation (VNLSE) is considered
with a self-induced parity-time-symmetric potential. It is shown that the system possess a Lax …

Controllable Akhmediev breather and Kuznetsov-Ma soliton trains in 𝒫𝒯-symmetric coupled waveguides

C Dai, Y Wang, X Zhang - Optics Express, 2014 - opg.optica.org
The 𝒫𝒯-symmetric and 𝒫𝒯-antisymmetric Akhmediev breather (AB) and Kuznetsov-Ma (KM)
soliton train solutions of a (2+ 1)-dimensional variable-coefficient coupled nonlinear …