Propagation dynamics of abruptly autofocusing circular Airy Gaussian vortex beams in the fractional Schrödinger equation
From MaRDI portal
Publication:2128267
DOI10.1016/j.chaos.2020.110470zbMath1496.35427arXiv2012.06483OpenAlexW3111068173MaRDI QIDQ2128267
Dumitru Mihalache, Shangling He, Boris A. Malomed, Yingji He, Dongmei Deng, Xing Yu, Xi Peng
Publication date: 21 April 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.06483
NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Fractional partial differential equations (35R11)
Related Items
Modified Bessel–Gaussian Vortex Beam with an Adjustable Broken Opening, Conical diffraction modulation in fractional dimensions with a \(\mathcal{PT}\)-symmetric potential, The beam control in two-channels PT-symmetric waveguide with fractional diffraction effect, Propagation dynamics of radially polarized symmetric Airy beams in the fractional Schrödinger equation, Propagation properties of ring Airy beams array in a nonlinear media
Cites Work
- Unnamed Item
- Fractional sub-equation method and its applications to nonlinear fractional PDEs
- Gauge invariance in fractional field theories
- Existence and stability of solitary waves for the inhomogeneous NLS
- Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity
- Soliton dynamics in a fractional complex Ginzburg-Landau model
- Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential
- Symmetry breaking of spatial Kerr solitons in fractional dimension
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Fractional optical solitons
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations
- Some physical applications of fractional Schrödinger equation
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN