Spatiotemporal dynamics in a twisted, circular waveguide array

DOI10.1111/SAPM.12511arXiv2201.11645MaRDI QIDQ6089945

John W. Zweck, Yannan Shen, Alejandro B. Aceves, Ross Parker

Publication date: 15 December 2023

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11645

zbMATH Keywords

nonlinear Schrödinger equationnonlinear opticstopological photonicsspatiotemporal localizationtwisted multicore fibers

Mathematics Subject Classification ID

Optics, electromagnetic theory (78-XX) Quantum theory (81-XX)

Cites Work

• Chaotic trajectories in the standard map. The concept of anti- integrability
• On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice
• Spectral and dynamical stability of nonlinear waves
• Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems
• Stability of discrete solitons in nonlinear Schrödinger lattices
• Persistence and stability of discrete vortices in nonlinear Schrödinger lattices
• A Simple Proof of the Fredholm Alternative and a Characterization of the Fredholm Operators

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