Solitons in a coupled system of fractional nonlinear Schrödinger equations

DOI10.1016/j.physd.2023.133924zbMath1527.35133OpenAlexW4387036575MaRDI QIDQ6090673

Xing Zhu, Jiawei Li, Dan Xiang, Milivoj R. Belic, Liangwei Zeng, Dumitru Mihalache, Xuanke Zeng

Publication date: 17 November 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2023.133924

zbMATH Keywords

nonlinear opticsoptical solitonscross-phase modulationcoupled Schrödinger equationsfractional dispersion

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Cites Work

• Symmetric and asymmetric solitons and vortices in linearly coupled two-dimensional waveguides with the cubic-quintic nonlinearity
• Fractional quantum mechanics and Lévy path integrals
• Accessible solitons of fractional dimension
• 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 Kerr media with two-dimensional non-parity-time-symmetric complex potentials
• Solitons in spin-orbit-coupled systems with fractional spatial derivatives
• Quadratic fractional solitons
• Vector solitons in nonlinear fractional Schrödinger equations with parity-time-symmetric optical lattices
• New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies
• Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Instabilities of Multihump Vector Solitons in Coupled Nonlinear Schrödinger Equations
• Fractional Quantum Mechanics
• Spontaneous symmetry breaking in purely nonlinear fractional systems
• Pulled fronts in the Cahn-Hilliard equation
• 1D Solitons in Saturable Nonlinear Media with Space Fractional Derivatives
• Double Loops and Pitchfork Symmetry Breaking Bifurcations of Optical Solitons in Nonlinear Fractional Schrödinger Equation with Competing Cubic‐Quintic Nonlinearities
• Stable and oscillating solitons of \(\mathcal{PT}\)-symmetric couplers with gain and loss in fractional dimension