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 …

Dark and antidark soliton interactions in the nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential

M Li, T Xu - Physical Review E, 2015 - APS
Via the N th Darboux transformation, a chain of nonsingular localized-wave solutions is
derived for a nonlocal nonlinear Schrödinger equation with the self-induced parity-time (PT) …

[HTML][HTML] Integrable PT-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model

Z Yan - Applied Mathematics Letters, 2015 - Elsevier
We introduce a new unified two-parameter {(ϵ x, ϵ t)| ϵ x, t=±1} wave model (simply called
Q ϵ x, ϵ t (n) model), connecting integrable local and nonlocal vector nonlinear Schrödinger …

Continuous and discrete Schrödinger systems with parity-time-symmetric nonlinearities

AK Sarma, MA Miri, ZH Musslimani… - Physical Review E, 2014 - APS
We investigate the dynamical behavior of continuous and discrete Schrödinger systems
exhibiting parity-time (PT) invariant nonlinearities. We show that such equations behave in a …

Spontaneous symmetry breaking and ghost states in two-dimensional fractional nonlinear media with non-Hermitian potential

M Zhong, Z Yan - Communications Physics, 2023 - nature.com
The interaction of fractional diffraction and parity-time (PT) symmetric would bring some
unique properties to certain physical system. Here we report a spontaneous symmetry …

Parity‐time symmetry in non‐Hermitian complex optical media

SK Gupta, Y Zou, XY Zhu, MH Lu, LJ Zhang… - Advanced …, 2020 - Wiley Online Library
The exploration of quantum‐inspired symmetries in optical and photonic systems has
witnessed immense research interest both fundamentally and technologically in a wide …

Multipole gap solitons in fractional Schrödinger equation with parity-time-symmetric optical lattices

X Zhu, F Yang, S Cao, J Xie, Y He - Optics Express, 2020 - opg.optica.org
We investigate the existence and stability of in-phase three-pole and four-pole gap solitons
in the fractional Schrödinger equation supported by one-dimensional parity-time-symmetric …

Stability of kink, anti kink and dark soliton solution of nonlocal Kundu–Eckhaus equation

E Parasuraman - Optik, 2023 - Elsevier
We study the modulational instability and soliton solution for nonlocal Kundu–Eckhaus (KE)
equation which is distinctly different from KE equation. KE equation can describe the …

Formation, stability, and adiabatic excitation of peakons and double-hump solitons in parity-time-symmetric Dirac--Scarf-II optical potentials

M Zhong, Y Chen, Z Yan, SF Tian - Physical Review E, 2022 - APS
We introduce a class of physically intriguing PT-symmetric Dirac-δ-Scarf-II optical potentials.
We find the parameter region making the corresponding non-Hermitian Hamiltonian admit …