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nlin.PS2024★ 4 cited
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.…
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.…
nlin.PS2024
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…