Data-driven rogue waves and parameter discovery in the defocusing NLS
equation with a potential using the PINN deep learning

Data-driven rogue waves and parameter discovery in the defocusing NLS equation with a potential using the PINN deep learning

18 December 2020

Zhenya Yan

Papers citing "Data-driven rogue waves and parameter discovery in the defocusing NLS equation with a potential using the PINN deep learning"

10 / 10 papers shown

Title
Data assimilation and parameter identification for water waves using the nonlinear Schrödinger equation and physics-informed neural networks Svenja Ehlers Niklas A. Wagner Annamaria Scherzl Marco Klein Norbert Hoffmann M. Stender 16 1 0 08 Jan 2024
Deep learning soliton dynamics and complex potentials recognition for 1D and 2D PT-symmetric saturable nonlinear Schrödinger equations Jin Song Ilya Shenbin 86 25 0 29 Sep 2023
Data-driven localized waves and parameter discovery in the massive Thirring model via extended physics-informed neural networks with interface zones Christian Berger Sadok Ben Toumia Zijian Zhou Zhenya Yan PINN 23 8 0 29 Sep 2023
Data-driven modeling of Landau damping by physics-informed neural networks Yilan Qin Jiayu Ma M. Jiang C. Dong H. Fu Liang Wang Wen-jie Cheng Yaqiu Jin PINN AI4CE 13 7 0 02 Nov 2022
Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations Zhi‐Yong Zhang Hui Zhang Li-sheng Zhang Lei‐Lei Guo PINN AI4CE 12 27 0 19 Jun 2022
Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next S. Cuomo Vincenzo Schiano Di Cola F. Giampaolo G. Rozza Maizar Raissi F. Piccialli PINN 26 1,177 0 14 Jan 2022
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 8 1 0 28 Dec 2021
Data-driven discoveries of Bäcklund transforms and soliton evolution equations via deep neural network learning schemes Zijian Zhou Li Wang Weifang Weng Zhenya Yan 8 17 0 18 Nov 2021
Deep learning neural networks for the third-order nonlinear Schrodinger equation: Solitons, breathers, and rogue waves Zijian Zhou Zhenya Yan 9 33 0 30 Apr 2021
Data-driven peakon and periodic peakon travelling wave solutions of some nonlinear dispersive equations via deep learning Li Wang Zhenya Yan 74 47 0 12 Jan 2021