Nonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulators
type: Item
instance of: scholarly article
title: Nonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulators
zbMATH Open document ID: 1498.78031
author: Justin T. Cole
author: Mark J. Ablowitz
published in: Physica D
publication date: 2022-10-11T00:00:00Z
Mathematics Subject Classification ID: 78A60
Mathematics Subject Classification ID: 78A50
Mathematics Subject Classification ID: 81V80
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 82C20
zbMATH DE Number: 7599637
zbMATH Keywords: photonics
zbMATH Keywords: waveguide arrays
zbMATH Keywords: tight-binding approximations
zbMATH Keywords: solitons
zbMATH Keywords: topological insulators
MaRDI profile type: Publication
full work available at URL: j.physd.2022.133440
OpenAlex ID: W4285013513
cites work: Discrete spatial solitons in a diffraction-managed nonlinear waveguide array: a unified approach
cites work: Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals
cites work: Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential
cites work: Coupled mode equations and gap solitons for the 2D Gross-Pitaevskii equation with a non-separable periodic potential
cites work: Band-Edge Solitons, Nonlinear Schrödinger/Gross–Pitaevskii Equations, and Effective Media
cites work: Q3094854
cites work: Honeycomb lattice potentials and Dirac points
cites work: The nonlinear Dirac equation in Bose-Einstein condensates: foundation and symmetries
cites work: Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene
cites work: High Contrast Elliptic Operators in Honeycomb Structures
cites work: Honeycomb-Lattice Minnaert Bubbles
cites work: Linear and nonlinear electromagnetic waves in modulated honeycomb media
cites work: Unified Orbital Description of the Envelope Dynamics in Two-Dimensional Simple Periodic Lattices
cites work: Nonlinear Waves in Integrable and Nonintegrable Systems
cites work: Q4774804
cites work: Floquet theory for partial differential equations
cites work: On Tight‐Binding Approximations in Optical Lattices
cites work: Honeycomb Schrödinger Operators in the Strong Binding Regime
cites work: Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential
cites work: Justification of the lattice equation for a nonlinear elliptic problem with a periodic potential
cites work: Q3925229
cites work: Q3188473
cites work: Conical diffraction: observations and theory
cites work: The Band Theory of Graphite
cites work: Nonlinear Wave Packets in Deformed Honeycomb Lattices
cites work: Nonlinear waves in shallow honeycomb lattices
cites work: Edge states in honeycomb structures
cites work: Quantal phase factors accompanying adiabatic changes
cites work: A short course on topological insulators. Band structure and edge states in one and two dimensions
cites work: The bulk-edge correspondence for continuous honeycomb lattices
cites work: Microlocal analysis of the bulk-edge correspondence
cites work: Q4751885
cites work: The Effect of a Magnetic Field on Electrons in a Periodic Potential
cites work: The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
cites work: Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls–Nabarro barrier
DOI: 10.1016/J.PHYSD.2022.133440
description: scientific article; zbMATH DE number 7599637