4 citations · 6 across the 6 of their papers we have counts for
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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…