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 …

Multidimensional dissipative solitons and solitary vortices

BA Malomed - Chaos, Solitons & Fractals, 2022 - Elsevier
This article offers a review of (chiefly, theoretical) results for self-trapped states (solitons) in
two-and three-dimensional (2D and 3D) models of nonlinear dissipative media. The …

Stability of solitons in Bose–Einstein condensates with cubic–quintic–septic nonlinearity and non--symmetric complex potentials

Y Zhong, K Yu, Y Sun, H Triki, Q Zhou - The European Physical Journal …, 2024 - Springer
This work investigates the existence and stability of soliton families in cubic–quintic–septic
Gross–Pitaevskii equation under non-PT-symmetric complex potentials. The cubic and …

Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity

Y Chen, Z Yan, D Mihalache - Physical Review E, 2020 - APS
We present an alternative type of parity-time (PT)-symmetric generalized Scarf-II potentials,
which makes possible for non-Hermitian Hamiltonians in the classical linear Schrödinger …

Nonlinearity management of photonic composites and observation of spatial-modulation instability due to quintic nonlinearity

AS Reyna, CB de Araújo - Physical Review A, 2014 - APS
We present a procedure for nonlinearity management of metal-dielectric nanocomposites
(MDNCs). Varying the volume fraction occupied by silver nanoparticles (NPs) suspended in …

Elliptical and rectangular solitons in media with competing cubic–quintic nonlinearities

L Zeng, MR Belić, D Mihalache, X Zhu - Chaos, Solitons & Fractals, 2024 - Elsevier
We demonstrate two new types of non-circularly-symmetric solitons, the elliptical and
rectangular solitons, which can be sustained by the cubic–quintic nonlinearity in the …

Stable flat-top solitons and peakons in the PT-symmetric δ-signum potentials and nonlinear media

Y Chen, Z Yan, D Mihalache - Chaos: An Interdisciplinary Journal of …, 2019 - pubs.aip.org
We discover that the physically interesting P T-symmetric Dirac delta-function potentials can
not only make sure that the non-Hermitian Hamiltonians admit fully-real linear spectra but …

Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations

Y Chen, Z Yan, BA Malomed - Physica D: Nonlinear Phenomena, 2022 - Elsevier
We study a class of physically intriguing PT-symmetric generalized Scarf-II (GS-II) potentials,
which can support exact solitons in one-and multi-dimensional nonlinear Schrödinger …

Higher-dimensional exceptional points and peakon dynamics triggered by spatially varying Kerr nonlinear media and ) potentials

Y Chen, Z Yan, D Mihalache - Physical Review E, 2023 - APS
Higher-dimensional PT-symmetric potentials constituted by delta-sign-exponential (DSE)
functions are created in order to show that the exceptional points in the non-Hermitian …