388 citations · 2.8k across the 44 of their papers we have counts for
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Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrödinger equations
Yong Chen, Zhenya Yan, Boris A. Malomed
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…
Deep learning neural networks for the third-order nonlinear Schrodinger equation: Solitons, breathers, and rogue waves
Zijian Zhou, Zhenya Yan
The third-order nonlinear Schrodinger equation (alias the Hirota equation) is investigated via deep leaning neural networks, which describes the strongly dispersive ion-acoustic wa…
Solving forward and inverse problems of the logarithmic nonlinear Schrodinger equation with PT-symmetric harmonic potential via deep learning
Zijian Zhou, Zhenya Yan
In this paper, we investigate the logarithmic nonlinear Schrödinger (LNLS) equation with the parity-time (PT)-symmetric harmonic potential, which is an important physical model in…
Impact of near-PT symmetry on exciting solitons and interactions based on a complex Ginzburg-Landau model
Yong Chen, Zhenya Yan, Wenjun Liu
We present and theoretically report the influence of a class of near-parity-time-(PT-) symmetric potentials with spectral filtering parameter and nonlinear gain-loss coeffici…
Solitons and their stability in the nonlocal nonlinear Schroedinger equation with PT-symmetric potentials
Zichao Wen, Zhenya Yan
We report localized nonlinear modes of the self-focusing and defocusing nonlocal nonlinear Schroedinger equation with the generalized PT-symmetric Scarf-II, Rosen-Morse, and period…
On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT-and non-PT-symmetric potentials
Zhenya Yan, Yong Chen, Zichao Wen
We report the bright solitons of the generalized Gross-Pitaevskii (GP) equation with some types of physically relevant parity-time-(PT-) and non-PT-symmetric potentials. We find th…
Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation
Yong Chen, Zhenya Yan
The effect of derivative nonlinearity and parity-time- (PT-) symmetric potentials on the wave propagation dynamics is investigated in the derivative nonlinear Schrodinger equation,…
Localized Analytical Solutions and Parameters Analysis in the Nonlinear Dispersive Gross-Pitaevskii Mean-Field GP (m,n) Model with Space-Modulated Nonlinearity and Potential
Zhenya Yan
The novel nonlinear dispersive Gross-Pitaevskii (GP) mean-field model with the space-modulated nonlinearity and potential (called GP(m, n) equation) is investigated in this paper.…
Solitonic dynamics and excitations of the nonlinear Schrodinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials
Yong Chen, Zhenya Yan
Solitons are of the important significant in many fields of nonlinear science such as nonlinear optics, Bose-Einstein condensates, plamas physics, biology, fluid mechanics, and etc…
Matter-wave solutions in the Bose-Einstein condensates with the harmonic and Gaussian potentials
Zhenya Yan, Dongmei Jiang
We study exact solutions of the quasi-one-dimensional Gross-Pitaevskii (GP) equation with the (space, time)-modulated potential and nonlinearity and the time-dependent gain or loss…
Exact solutions to three-dimensional generalized nonlinear Schrodinger equations with varying potential and nonlinearities
Zhenya Yan, V. V. Konotop
It is shown that using the similarity transformations, a set of three-dimensional p-q nonlinear Schrodinger (NLS) equations with inhomogeneous coefficients can be reduced to one-di…
Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses
Yong Chen, Zhenya Yan, Dumitru Mihalache +1
Since the parity-time-(PT-) symmetric quantum mechanics was put forward, fundamental properties of some linear and nonlinear models with PT-symmetric potentials have been investiga…
Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations
Xiao-Yong Wen, Zhenya Yan
The novel generalized perturbation (n, M)-fold Darboux transformations (DTs) are reported for the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation and its extension by using…
Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized PT-symmetric Scarff-II potentials
Zhenya Yan, Zichao Wen, Chao Hang
We present a unified theoretical study of the bright solitons governed by self-focusing and defocusing nonlinear Schrodinger (NLS) equations with generalized parity-time (PT)-symme…
Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: stability and excitation of nonlinear modes
Zhenya Yan, Zichao Wen, Vladimir V. Konotop
We report branches of explicit expressions for nonlinear modes in parity-time (PT) symmetric potentials of several types. For the single-well and double-well potentials the found s…
Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schroedinger equation
Yunqing Yang, Zhenya Yan, Boris A. Malomed
We analytically study rogue-wave (RW) solutions and rational solitons of an integrable fifth-order nonlinear Schrödinger (FONLS) equation with three free parameters. It includes, a…