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 …

Controllable combined Peregrine soliton and Kuznetsov–Ma soliton in PT-symmetric nonlinear couplers with gain and loss

CQ Dai, YY Wang - Nonlinear Dynamics, 2015 - Springer
Abstract We investigate a (2+ 1)-dimensional-coupled variable coefficient nonlinear
Schrödinger equation in parity time symmetric nonlinear couplers with gain and loss and …

Optical solitons in parity-time-symmetric mixed linear and nonlinear lattice with non-Kerr law nonlinearity

Q Zhou, A Biswas - Superlattices and Microstructures, 2017 - Elsevier
This work presents an analytical study of the existence of solitons in non-Kerr law media
modulated by the P T-symmetric mixed linear and nonlinear optical complex lattices. Four …

[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 …

Stable localized spatial solitons in -symmetric potentials with power-law nonlinearity

YY Wang, CQ Dai, XG Wang - Nonlinear dynamics, 2014 - Springer
We derive analytical spatial soliton solutions of a (2+ 1)-dimensional nonlinear Schrödinger
equation with power-law nonlinearity in PT PT-symmetric potentials. The stability of these …

Stability analysis of multiple solutions of nonlinear Schrödinger equation with -symmetric potential

N Ghosh, A Das, D Nath - Nonlinear Dynamics, 2023 - Springer
Exact stationary solutions of nonlinear Schrödinger equation in the presence of complex
deformed supersymmetric potential have been obtained in terms of bright soliton and dark …

[HTML][HTML] Multi-rogue wave and multi-breather solutions in PT-symmetric coupled waveguides

CQ Dai, WH Huang - Applied Mathematics Letters, 2014 - Elsevier
The coupled nonlinear Schrödinger equation in parity-time symmetric coupled waveguides
is studied by means of the modified Darboux transformation method. The hierarchies of …

[PDF][PDF] Analytic study on optical solitons in a Kerr-law medium with an imprinted parity-time-symmetric mixed linear-nonlinear lattice

Z Qin - Proc. Rom. Acad. Ser. A, 2017 - academiaromana.ro
The existence of different types of optical solitons in Kerr-law media with parity-time (PT)-
symmetric mixed linear-nonlinear optical lattices has been investigated by using the inverse …

Symmetries and exact solutions of a class of nonlocal nonlinear Schrödinger equations with self-induced parity-time-symmetric potential

D Sinha, PK Ghosh - Physical Review E, 2015 - APS
A class of nonlocal nonlinear Schrödinger equations (NLSEs) is considered in an external
potential with a space-time modulated coefficient of the nonlinear interaction term as well as …

Localized modes of the (n+ 1)-dimensional Schrödinger equation with power-law nonlinearities in PT-symmetric potentials

CQ Dai, XF Zhang, Y Fan, L Chen - Communications in Nonlinear Science …, 2017 - Elsevier
We investigate the generalized (n+ 1)-dimensional nonlinear Schrödinger equation with
power-law nonlinearity in PT-symmetric potentials, and derive two families of analytical sech …