176 citations · 322 across the 7 of their papers we have counts for
9 papers
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…
Inverse scattering transforms and N-double-pole solutions for the derivative NLS equation with zero/non-zero boundary conditions
Guoqiang Zhang, Zhenya Yan
We systematically report a rigorous theory of the inverse scattering transforms (ISTs) for the derivative nonlinear Schrodinger (DNLS) equation with both zero boundary condition (Z…
Inverse scattering transforms for the focusing and defocusing mKdV equations with nonzero boundary conditions
Guoqiang Zhang, Zhenya Yan
We explore systematically a rigorous theory of the inverse scattering transforms with matrix Riemann-Hilbert problems for both focusing and defocusing modified Korteweg-de Vries (m…
A unified inverse scattering transform and soliton solutions of the nonlocal modified KdV equation with non-zero boundary conditions
Guoqiang Zhang, Zhenya Yan
We present a rigorous theory of a unified and simple inverse scattering transform (IST) for both focusing and defocusing real nonlocal (reverse-space-time) modified Korteweg-de Vri…
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…