Symmetry breaking of spatial Kerr solitons in fractional dimension
From MaRDI portal
Publication:2185164
DOI10.1016/J.CHAOS.2020.109602zbMath1434.35008arXiv2003.14161OpenAlexW2998937937WikidataQ126320560 ScholiaQ126320560MaRDI QIDQ2185164
Dumitru Mihalache, Boris A. Malomed, Peng-Fei Li
Publication date: 4 June 2020
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.14161
Related Items (19)
Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity ⋮ Propagation properties of chirped optical similaritons with dual-power law nonlinearity ⋮ Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential ⋮ Fractional quantum couplers ⋮ Stabilization of fundamental solitons in the nonlinear fractional Schrödinger equation with \(\text{PT}\)-symmetric nonlinear lattices ⋮ Propagation dynamics of abruptly autofocusing circular Airy Gaussian vortex beams in the fractional Schrödinger equation ⋮ Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension ⋮ Solitons in spin-orbit-coupled systems with fractional spatial derivatives ⋮ Quadratic fractional solitons ⋮ Symmetric and antisymmetric vector solitons for the fractional quadric-cubic coupled nonlinear Schrödinger equation ⋮ Double Loops and Pitchfork Symmetry Breaking Bifurcations of Optical Solitons in Nonlinear Fractional Schrödinger Equation with Competing Cubic‐Quintic Nonlinearities ⋮ Two-dimensional fractional \(\mathcal{PPT}\)-symmetric cubic-quintic NLS equation: double-loop symmetry breaking bifurcations, ghost states and dynamics ⋮ The beam control in two-channels PT-symmetric waveguide with fractional diffraction effect ⋮ Stable and oscillating solitons of \(\mathcal{PT}\)-symmetric couplers with gain and loss in fractional dimension ⋮ Analysis and more general solutions of Einstein field equation in \(f(R, T)\) gravity ⋮ Spontaneous symmetry breaking in purely nonlinear fractional systems ⋮ Propagation dynamics of radially polarized symmetric Airy beams in the fractional Schrödinger equation ⋮ Gray solitons in parity-time-symmetric localized potentials with fractional-order diffraction ⋮ Necklace beams carrying fractional angular momentum in fractional systems with a saturable nonlinearity
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
- Newton-conjugate-gradient methods for solitary wave computations
- Transitions between symmetric and asymmetric solitons in dual-core systems with cubic--quintic nonlinearity
- Fractional quantum mechanics and Lévy path integrals
- On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions
- Accessible solitons of fractional dimension
- Spontaneous symmetry breaking, self-trapping, and Josephson oscillations
- An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations
- Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation
- Soliton dynamics in a fractional complex Ginzburg-Landau model
- Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation
- Fractional optical solitons
- Spontaneous symmetry breaking in photonic lattices: theory and experiment
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
- Spectral Methods in MATLAB
- Novel soliton states and bifurcation phenomena in nonlinear fiber couplers
- On the nonlocality of the fractional Schrödinger equation
- Numerical study of fractional nonlinear Schrödinger equations
- Fractional Schrödinger equation for a particle moving in a potential well
This page was built for publication: Symmetry breaking of spatial Kerr solitons in fractional dimension