Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN

Soliton, Breather and Rogue Wave Solutions for Solving the Nonlinear Schrödinger Equation Using a Deep Learning Method with Physical Constraints

(2021) Pu Jun-Cai et al.   Chinese Physics B

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

(2021) Li Wang et al.   PHYSICS LETTERS A

Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation

(2021) Hao-Bin Han et al.   APPLIED MATHEMATICS LETTERS

The Case for Cross-Component Power Coordination on Power Bounded Systems

(2021) Rong Ge et al.   IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS

Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations

(2020) Maziar Raissi et al.   SCIENCE

Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems

(2020) Ameya D. Jagtap et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks

(2020) Ameya D. Jagtap et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Synchronization and spatial patterns in a light-dependent neural network

(2020) Yong Liu et al.   Communications in Nonlinear Science and Numerical Simulation

Theory of Neuromorphic Computing by Waves: Machine Learning by Rogue Waves, Dispersive Shocks, and Solitons

(2020) Giulia Marcucci et al.   PHYSICAL REVIEW LETTERS

Dynamical characteristic of analytical fractional solitons for the space-time fractional Fokas-Lenells equation

(2020) Ben-Hai Wang et al.   Alexandria Engineering Journal

Existence, symmetry breaking bifurcation and stability of two-dimensional optical solitons supported by fractional diffraction

(2020) Pengfei Li et al.   OPTICS EXPRESS

Quality assessment of compressed and resized medical images based on pattern recognition using a convolutional neural network

(2020) Ilona Urbaniak et al.   Communications in Nonlinear Science and Numerical Simulation

Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation

(2019) Run-Fa Zhang et al.   NONLINEAR DYNAMICS

Learning data-driven discretizations for partial differential equations

(2019) Yohai Bar-Sinai et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Hidden physics models: Machine learning of nonlinear partial differential equations

(2018) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations

(2018) Maziar Raissi et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Predicting the sequence specificities of DNA- and RNA-binding proteins by deep learning

(2015) Babak Alipanahi et al.   NATURE BIOTECHNOLOGY

Human-level concept learning through probabilistic program induction

(2015) B. M. Lake et al.   SCIENCE

Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation

(2012) Yongsheng Tao et al.   PHYSICAL REVIEW E