3 papers
cs.LG2025
Efficient High-Accuracy PDEs Solver with the Linear Attention Neural Operator
Ming Zhong, Zhenya Yan
Neural operators offer a powerful data-driven framework for learning mappings between function spaces, in which the transformer-based neural operator architecture faces a fundament…
nlin.PS2024
Suppression of soliton collapses, modulational instability, and rogue-wave excitation in two-Lévy-index fractional Kerr media
Ming Zhong, Yong Chen, Zhenya Yan +1
s in laser systems with two fractional-dispersion/diffraction terms, quantified by their Lévy indices, , and self-focusing or defocusing Kerr nonlinearity.…
physics.comp-ph2024
Two-stage initial-value iterative physics-informed neural networks for simulating solitary waves of nonlinear wave equations
Jin Song, Ming Zhong, George Em Karniadakis +1
We propose a new two-stage initial-value iterative neural network (IINN) algorithm for solitary wave computations of nonlinear wave equations based on traditional numerical iterati…