388 citations · 2.8k across the 44 of their papers we have counts for
15 papers · 1 filter
Integrable -symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
Zhenya Yan
We introduce a new unified two-parameter wave model (simply called model), connecting integrable local and nonlocal v…
A novel hierarchy of two-family-parameter equations: Local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrodinger equations
Zhenya Yan
We use two families of parameters to first introduce a unified novel two-family-parameter system (simply called ${\math…
Long-time asymptotics for initial-boundary value problems of integrable Fokas-Lenells equation on the half-line
Shuyan Chen, Zhenya Yan
We study the Schwartz class of initial-boundary value (IBV) problems for the integrable Fokas-Lenells equation on the half-line via the Deift-Zhou's nonlinear descent method analys…
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…
An initial-boundary value problem of the general three-component nonlinear Schrodinger equation with a 4x4 Lax pair on a finite interval
Zhenya Yan
We investigate the initial-boundary value problem for the general three-component nonlinear Schrodinger (gtc-NLS) equation with a 4x4 Lax pair on a finite interval by extending the…
An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4x4 Lax pair on the half-line
Zhenya Yan
We investigate the initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii (GP) equations with a 4x4 Lax pair on the half-line. The solution of this system can be…
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.…
Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation
Xiao-Yong Wen, Yunqing Yang, Zhenya Yan
In this paper, a simple and constructive method is presented to find the generalized perturbation (n,M)-fold Darboux transformations (DTs) of the modified nonlinear Schrodinger (MN…
Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential
Xiao-Yong Wen, Zhenya Yan, Yunqing Yang
The integrable nonlocal nonlinear Schrodinger (NNLS) equation with the self-induced parity-time-symmetric potential [Phys. Rev. Lett. 110 (2013) 064105] is investigated, which is a…
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…