Journal ArticleDOI
Symmetric and Antisymmetric Solitons in the Fractional Nonlinear Schrödinger Equation With Saturable Nonlinearity and PT-symmetric Potential: Stability and Dynamics
Wen Bo,Wei Li,Yue-Yue Wang +2 more
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TLDR
The stability of symmetric and antisymmetric solitons in the fractional nonlinear Schrödinger equation with the defocused saturable nonlinearity and the PT-symmetric potential was investigated in this paper .About:
This article is published in Optik.The article was published on 2022-02-01. It has received 22 citations till now. The article focuses on the topics: Antisymmetric relation & Soliton.read more
Citations
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Prediction and dynamical evolution of multipole soliton families in fractional Schrödinger equation with the PT-symmetric potential and saturable nonlinearity
Journal ArticleDOI
A family of nonlinear Schrodinger equations and their solitons solutions
Rami Ahmad El-Nabulsi,W. Anukool +1 more
TL;DR: In this paper , three different forms of fractional nonlinear Schrödinger equations have been constructed based on the notion of nonlocal generalized fractional momentum operator, the fractional expansion Riccati method and the concept of Laplacian operator in fractal dimensions.
Journal ArticleDOI
Symmetry breaking of solitons in the PT-symmetric nonlinear Schrödinger equation with the cubic-quintic competing saturable nonlinearity.
TL;DR: In this article , the symmetry breaking of solitons in the nonlinear Schrödinger equation with cubic-quintic competing nonlinearity and parity-time symmetric potential is studied.
Journal ArticleDOI
Optical solitons in the generalized space–time fractional cubic-quintic nonlinear Schrödinger equation with a PT-symmetric potential
TL;DR: In this article , the generalized space-time fractional cubic-quintic nonlinear Schrödinger (FCQNLS) equation was considered in the presence of complexified parity reflection-time reversal (PT)−symmetric Scarff-II potential.
Journal ArticleDOI
Dynamic behaviors of novel nonlinear wave solutions for the Akbota equation
H. Y. Kong,Rui Guo +1 more
TL;DR: Based on the J-fold Darboux transformation, some novel nonlinear wave solutions such as the one-breather, two-bather, rogue wave and the semi-rational solutions of the Akbota equation are derived as mentioned in this paper .
References
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Journal ArticleDOI
Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
TL;DR: The condition of self-adjointness as discussed by the authors ensures that the eigenvalues of a Hamiltonian are real and bounded below, replacing this condition by the weaker condition of $\mathrm{PT}$ symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive.
Journal ArticleDOI
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
TL;DR: In this article, the authors presented variational ground-state and excited-state wave functions which describe the condensation of a two-dimensional electron gas into a new state of matter.
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Anomolous quantum Hall effect: an incompressible quantum fluid with fractionally charged excitations
TL;DR: In this paper, the authors presented variational ground-state and excited-state wave functions which describe the condensation of a two-dimensional electron gas into a new state of matter.
Journal ArticleDOI
Optical solitons in PT periodic potentials
TL;DR: In this paper, the effect of nonlinearity on beam dynamics in parity-time (PT) symmetric potentials was investigated and a novel class of one-and two-dimensional nonlinear self-trapped modes were shown to be stable over a wide range of potential parameters.
Journal ArticleDOI
Visualization of branch points in PT-symmetric waveguides.
TL;DR: Using the Rayleigh-Schrödinger perturbation theory, it is proved that the spectrum of a PT-symmetric Hamiltonian is real as long as the radius of convergence has not been reached.
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