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.SI2025
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…
nlin.PS2024
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.…