Modulational instability in fractional nonlinear Schrödinger equation

DOI10.1016/j.cnsns.2017.01.019OpenAlexW2573371026MaRDI QIDQ2005493

Lifu Zhang, Claudio Conti, Zenghui He, Ying Li, Zhiteng Wang, Dajun Lei, Dianyuan Fan, Yong-Hua Hu

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.01.019

zbMATH Keywords

nonlinear Schrödinger equationlinear stability analysisfractional calculusmodulational instability

Mathematics Subject Classification ID

Partial differential equations (35-XX) Optics, electromagnetic theory (78-XX)

Related Items (11)

Fractional quantum couplers ⋮ Gap solitons and nonlinear Bloch waves in fractional quantum coupler with periodic potential ⋮ Bright solitons in fractional coupler with spatially periodical modulated nonlinearity ⋮ 1D Solitons in Saturable Nonlinear Media with Space Fractional Derivatives ⋮ Conical diffraction modulation in fractional dimensions with a \(\mathcal{PT}\)-symmetric potential ⋮ Stable and oscillating solitons of \(\mathcal{PT}\)-symmetric couplers with gain and loss in fractional dimension ⋮ Fundamental, dipole, and vortex solitons in fractional nonlinear Schrödinger equation with a parity-time-symmetric periodic potential ⋮ Spontaneous symmetry breaking in purely nonlinear fractional systems ⋮ Nonlinear wave-packet dynamics resonantly driven by AC and DC fields ⋮ Fractional dynamics and modulational instability in long-range Heisenberg chains ⋮ Nonlinear conical diffraction in fractional dimensions with a \(\mathcal{PT}\)-symmetric optical lattice

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