148 citations · 289 across the 7 of their papers we have counts for
7 papers
Spontaneous symmetry breaking and ghost states supported by the fractional nonlinear Schrödinger equation with focusing saturable nonlinearity and PT-symmetric potential
Ming Zhong, Li Wang, Pengfei Li +1
We report a novel spontaneous symmetry breaking phenomenon and ghost states existed in the framework of the fractional nonlinear Schrödinger (FNLS) equation with focusing saturable…
Deep neural networks for solving forward and inverse problems of (2+1)-dimensional nonlinear wave equations with rational solitons
Zijian Zhou, Li Wang, Zhenya Yan
In this paper, we investigate the forward problems on the data-driven rational solitons for the (2+1)-dimensional KP-I equation and spin-nonlinear Schrödinger (spin-NLS) equation v…
Data-driven discoveries of Bäcklund transforms and soliton evolution equations via deep neural network learning schemes
Zijian Zhou, Li Wang, Weifang Weng +1
We introduce a deep neural network learning scheme to learn the Bäcklund transforms (BTs) of soliton evolution equations and an enhanced deep learning scheme for data-driven solito…
Data-driven peakon and periodic peakon travelling wave solutions of some nonlinear dispersive equations via deep learning
Li Wang, Zhenya Yan
In the field of mathematical physics, there exist many physically interesting nonlinear dispersive equations with peakon solutions, which are solitary waves with discontinuous firs…
Data-driven rogue waves and parameter discovery in the defocusing NLS equation with a potential using the PINN deep learning
Li Wang, Zhenya Yan
The physics-informed neural networks (PINNs) can be used to deep learn the nonlinear partial differential equations and other types of physical models. In this paper, we use the mu…
Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials
Li Wang, Zhenya Yan
The defocusing nonlinear Schrödinger (NLS) equation has no the modulational instability, and was not found to possess the rogue wave (RW) phenomenon up to now. In this paper, we fi…
Attraction centers and PT-symmetric delta-functional dipoles in critical and supercritical self-focusing media
Li Wang, Boris A. Malomed, Zhenya Yan
We introduce a model based on the one-dimensional nonlinear Schroedinger equation (NLSE) with the critical (quintic) or supercritical self-focusing nonlinearity. We demonstrate tha…