Vector solitons in nonlinear fractional Schrödinger equations with parity-time-symmetric optical lattices

DOI10.1007/S11071-019-05048-9zbMath1430.35214OpenAlexW2950685984MaRDI QIDQ2296207

Xing Zhu, Yingji He, Jiaquan Xie

Publication date: 17 February 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-05048-9

zbMATH Keywords

vector solitonnonlinear fractional Schrödinger equationsPT-symmetric optical lattice

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Related Items (14)

Fractional quantum couplers ⋮ Stabilization of fundamental solitons in the nonlinear fractional Schrödinger equation with \(\text{PT}\)-symmetric nonlinear lattices ⋮ Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension ⋮ Solitons in Kerr media with two-dimensional non-parity-time-symmetric complex potentials ⋮ Bright solitons in fractional coupler with spatially periodical modulated nonlinearity ⋮ 1D Solitons in Saturable Nonlinear Media with Space Fractional Derivatives ⋮ Solitons in a coupled system of fractional nonlinear Schrödinger equations ⋮ Propagation of three-dimensional optical solitons in fractional complex Ginzburg-Landau model ⋮ 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 ⋮ 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 ⋮ Gray solitons in parity-time-symmetric localized potentials with fractional-order diffraction ⋮ Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities

Cites Work

• Fractional quantum mechanics and Lévy path integrals
• Accessible solitons of fractional dimension
• Truncated-Bloch-wave solitons in nonlinear fractional periodic systems
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• 𝓟𝓣-symmetric quantum mechanics
• Universally‐Convergent Squared‐Operator Iteration Methods for Solitary Waves in General Nonlinear Wave Equations

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