86 citations · 144 across the 3 of their papers we have counts for
3 papers
math.AP2023
On the energy and helicity conservation of the incompressible Euler equations
Yanqing Wang, Wei Wei, Gnag Wu +1
In this paper, we are concerned with the minimal regularity of weak solutions implying the law of balance for both energy and helicity in the incompressible Euler equations. In the…
nlin.PS2022★ 58 cited
Data-driven soliton solutions and model parameters of nonlinear wave models via the conservation-law constrained neural network method
Yin Fang, Gang-Zhou Wu, Yue-Yue Wang +1
In the process of the deep learning, we integrate more integrable information of nonlinear wave models, such as the conservation law obtained from the integrable theory, into the n…
nlin.PS2021★ 86 cited
Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers via the modified PINN
Gang-Zhou Wu, Yin Fang, Yue-Yue Wang +2
A modified physics-informed neural network is used to predict the dynamics of optical pulses including one-soliton, two-soliton, and rogue wave based on the coupled nonlinear Schrö…