388 citations · 2.8k across the 44 of their papers we have counts for
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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…