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…
cs.LG2025
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations
Jin Song, Kenji Kawaguchi, Zhenya Yan
Neural operators, which aim to approximate mappings between infinite-dimensional function spaces, have been widely applied in the simulation and prediction of physical systems. How…
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.…