4 citations · 6 across the 6 of their papers we have counts for
7 papers
Cluster Attention Neural Operators for Solving Parametric Partial Differential Equations
Ming Zhong, Antonio Colanera, Gianluigi Rozza +1
Traditional simulations of parametric partial differential equations (PDEs) rely on repetitive computations for each parameter, which makes high-fidelity design impractical. Neural…
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…
Asymmetric integrable turbulence and rogue wave statistics for the derivative nonlinear Schrödinger equation
Ming Zhong, Weifang Weng, Zhenya Yan
We investigate the asymmetric integrable turbulence and rogue waves (RWs) emerging from the modulation instability (MI) of plane waves for the DNLS equation. The \(n\)-th moments a…
Two-dimensional fractional discrete NLS equations: dispersion relations, rogue waves, fundamental and vortex solitons
Ming Zhong, Boris A. Malomed, Jin Song +1
We introduce physically relevant new models of two-dimensional (2D) fractional lattice media accounting for the interplay of fractional intersite coupling and onsite self-focusing.…
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.…
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…
Dynamics of discrete solitons in the fractional discrete nonlinear Schrödinger equation with the quasi-Riesz derivative
Ming Zhong, Boris A. Malomed, Zhenya Yan
We elaborate a fractional discrete nonlinear Schrödinger (FDNLS) equation based on an appropriately modified definition of the Riesz fractional derivative, which is characterized b…