Accessible solitons of fractional dimension

DOI10.1016/j.aop.2016.02.007zbMath1377.35229OpenAlexW2276460298MaRDI QIDQ1692511

Wei-Ping Zhong, Yiqi Zhang, Milivoj R. Belic

Publication date: 10 January 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2016.02.007

zbMATH Keywords

fraction-dimensional Schrödinger equationself-similar methodstrongly nonlocal nonlinear media

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Quantum optics (81V80) PDEs in connection with quantum mechanics (35Q40) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Related Items (22)

Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity ⋮ Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential ⋮ Fractional quantum couplers ⋮ 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 ⋮ Symmetry breaking of spatial Kerr solitons in fractional dimension ⋮ Truncated-Bloch-wave solitons in nonlinear fractional periodic systems ⋮ Fraction‐Dimensional Accessible Solitons in a Parity‐Time Symmetric 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 ⋮ Solitons in a coupled system of fractional nonlinear Schrödinger equations ⋮ Some space-time fractional bright–dark solitons and propagation manipulations for a fractional Gross–Pitaevskii equation with an external potential ⋮ Stable and oscillating solitons of \(\mathcal{PT}\)-symmetric couplers with gain and loss in fractional dimension ⋮ Variational approach for breathers in a nonlinear fractional Schrödinger equation ⋮ Gray solitons in parity-time-symmetric localized potentials with fractional-order diffraction ⋮ Solitary wave solutions of time-space nonlinear fractional Schrödinger's equation: two analytical approaches ⋮ Modulational instability in fractional nonlinear Schrödinger equation ⋮ The fractional dimensional spatiotemporal accessible solitons supported by PT-symmetric complex potential ⋮ Vector solitons in nonlinear fractional Schrödinger equations with parity-time-symmetric optical lattices ⋮ Nonlinear conical diffraction in fractional dimensions with a \(\mathcal{PT}\)-symmetric optical lattice

Cites Work

• On fractional Schrödinger equation in \(\alpha \)-dimensional fractional space
• Harmonic and anharmonic quantum-mechanical oscillators in noninteger dimensions
• Fractional optical solitons
• Fractional Schrödinger equation for a particle moving in a potential well

This page was built for publication: Accessible solitons of fractional dimension