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 …
We find the parameter region making the corresponding non-Hermitian Hamiltonian admit …
Stable dynamics and excitations of single-and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials
X Li, L Wang, Z Zhou, Y Chen, Z Yan - Nonlinear Dynamics, 2022 - Springer
In this paper, the self-focusing nonlinear Schrödinger (NLS) equation with PT-symmetric
harmonic-hyperbolic-Gaussian function potentials is investigated, and some intriguing …
harmonic-hyperbolic-Gaussian function potentials is investigated, and some intriguing …
Stability analysis of multiple solutions of nonlinear Schrödinger equation with -symmetric potential
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 …
deformed supersymmetric potential have been obtained in terms of bright soliton and dark …
[HTML][HTML] Soliton formation and dynamics in the quintic nonlinear media with PT-invariant harmonic-Gaussian potential
X Li, L Wang, Z Yan - Physics Letters A, 2023 - Elsevier
In this paper, we introduce a PT-symmetric harmonic-hyperbolic-Gaussian (HHG) potential
in the nonlinear Schrödinger (NLS) equation with quintic nonlinearity. Firstly, we present the …
in the nonlinear Schrödinger (NLS) equation with quintic nonlinearity. Firstly, we present the …
Nonlinear Schrödinger equations with amplitude-dependent Wadati potentials
DA Zezyulin - Physical Review E, 2022 - APS
Complex Wadati-type potentials of the form V (x)=− w 2 (x)+ iwx (x), where w (x) is a real-
valued function, are known to possess a number of intriguing features, unusual for generic …
valued function, are known to possess a number of intriguing features, unusual for generic …
Soliton solutions of derivative nonlinear Schrödinger equations: Conservative schemes and numerical simulation
L Xue, Q Zhang - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this paper, we numerically study soliton solutions of derivative nonlinear Schrödinger
equations based on several conservative finite difference methods. All schemes own second …
equations based on several conservative finite difference methods. All schemes own second …
Optical chirped soliton structures in generalized derivative resonant nonlinear Schrödinger equation and modulational stability analysis
The derivative resonant nonlinear Schrödinger (DRNS) equation describing pulse
propagation in nonlinear optics is studied and exact chirped soliton solutions are obtained in …
propagation in nonlinear optics is studied and exact chirped soliton solutions are obtained in …
Stability analysis of multiple solutions of three wave interaction with group velocity dispersion and wave number mismatch
This paper explores the analytical approach for obtaining the multiple solutions of three-
wave interacting system in (1+ 1) dimensions. We present a novel approach by expressing …
wave interacting system in (1+ 1) dimensions. We present a novel approach by expressing …
Connected and disconnected stable regions of solitons of nonlinear Schr\"odinger equation with -symmetric potential
We have considered cubic nonlinear Schr\" odinger equation along with supersymmetric
$\mathcal {PT} $ like potential and obtained exact stationary solutions in terms of bright and …
$\mathcal {PT} $ like potential and obtained exact stationary solutions in terms of bright and …