Bubbles and W-shaped solitons in Kerr media with fractional diffraction
arXiv:2104.04287 · doi:10.1007/s11071-021-06459-3
Abstract
We demonstrate that, with the help of a Gaussian potential barrier, dark modes in the form of a local depression ("bubbles") can be supported by the repulsive Kerr nonlinearity in combination with fractional dimension. Similarly, W-shaped modes are supported by a double potential barrier. Families of the modes are constructed in a numerical form, and also by means of the Thomas-Fermi and variational approximations. All these modes are stable, which is predicted by computation of eigenvalues for small perturbations and confirmed by direct numerical simulations.
arXiv commentto be published in Nonlinear Dynamics
References in corpus (44)
- Fractional Quantum Mechanics and Levy Path Integrals
- Fractional Schrodinger equation
- Solitons in nonlinear lattices
- Fractional Quantum Mechanics
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Fractional Schrödinger equation in optics
- Theory of Nonlinear Matter Waves in Optical Lattices
- Fundamental and vortex solitons in a two-dimensional optical lattice
- Spatial Solitons in Optically-Induced Gratings
- Solitons in PT-symmetric nonlinear lattices
- Multidimensional solitons in periodic potentials
- Multidimensional solitons in a low-dimensional periodic potential
- Some properties of the one-dimensional Lévy crystal
- Multidimensional solitons: Well-established results and novel findings
- Bright solitons from defocusing nonlinearities
- Spatiotemporal accessible solitons in fractional dimensions
- Soliton dynamics in a fractional complex Ginzburg-Landau model
- Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
- One-dimensional solitons in fractional Schrödinger equation with a spatially modulated nonlinearity: nonlinear lattice
- Algebraic bright and vortex solitons in defocusing media
- Soliton gyroscopes in media with spatially growing repulsive nonlinearity
- Stable two-dimensional solitons in nonlinear lattices
- Rational W-shaped Optical Soliton on Continuous Wave in Presence of Kerr Dispersion and Stimulated Raman Scattering
- Fractional quantum mechanics in polariton condensates with velocity dependent mass
- One-dimensional gap solitons in quintic and cubic-quintic Fractional nonlinear Schrödinger equations with a periodically modulated linear potential
- Stability of vortex solitons in a photorefractive optical lattice
- Symmetry breaking of spatial Kerr solitons in fractional dimension
- Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension
- W-shaped solitons generated from a weak modulation in the Sasa-Satsuma equation
- Gray spatial solitons in nonlocal nonlinear media
- Gap-type dark localized modes in a Bose-Einstein condensate with optical lattices
- Inelastic Collisions of Solitary Waves in Anisotropic Bose-Einstein Condensates: Sling-Shot Events and Expanding Collision Bubbles
- Metastable soliton necklaces supported by fractional diffraction and competing nonlinearities
- Three-dimensional hybrid vortex solitons
- A purely Kerr nonlinear model admitting flat-top solitons
- The Two-Dimensional Fractional Discrete Nonlinear Schrodinger Equation
- Rotating vortex clusters in media with inhomogeneous defocusing nonlinearity
- Stable and oscillating solitons of -symmetric couplers with gain and loss in fractional dimension
- Propagation of solitons in thermal media with periodic nonlinearity
- Bright solitons in ultracold atoms
- Optical rogue waves and W-shaped solitons in the multiple self-induced transparency system
- Gaussian-like and flat-top solitons of atoms with spatially modulated repulsive interactions
- The fate of a gray soliton in a quenched Bose-Einstein condensate
- Solitons and vortices in nonlinear potential wells