Nonlinear Waves in Shallow Honeycomb Lattices
From MaRDI portal
Publication:2884625
DOI10.1137/11082662XzbMath1258.41012OpenAlexW2042101357MaRDI QIDQ2884625
Publication date: 30 May 2012
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/11082662x
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) First-order nonlinear hyperbolic equations (35L60) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20)
Related Items (28)
Transverse instability of line solitary waves in massive Dirac equations ⋮ Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials ⋮ Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime ⋮ Magnetic properties on a decorated triangular lattice: a Monte Carlo simulation ⋮ Unified Orbital Description of the Envelope Dynamics in Two-Dimensional Simple Periodic Lattices ⋮ Bloch theory-based gradient recovery method for computing topological edge modes in photonic graphene ⋮ Honeycomb lattice potentials and Dirac points ⋮ ThreeFold Weyl Points for the Schrödinger Operator with Periodic Potentials ⋮ Edge diffraction on triangular and hexagonal lattices: existence, uniqueness, and finite section ⋮ Double Dirac Cones in Band Structures of Periodic Schroedinger Operators ⋮ A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with structure-preservation for long-time dynamics of the Dirac equation with small potentials ⋮ Discrete Sommerfeld diffraction problems on hexagonal lattice with a zigzag semi-infinite crack and rigid constraint ⋮ Numerical Methods for the Nonlinear Dirac Equation in the Massless Nonrelativistic Regime ⋮ Effective masses for Laplacians on periodic graphs ⋮ Wave packets in honeycomb structures and two-dimensional Dirac equations ⋮ A Hybrid Method for Computing the Schrödinger Equations with Periodic Potential with Band-Crossings in the Momentum Space ⋮ Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime ⋮ Wave packet dynamics in slowly modulated photonic graphene ⋮ Unfitted Nitsche's method for computing wave modes in topological materials ⋮ A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ Nonlinear optical waveguide lattices: asymptotic analysis, solitons, and topological insulators ⋮ Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures ⋮ On the continuum limit for the discrete nonlinear Schrödinger equation on a large finite cubic lattice ⋮ The One-Dimensional Dirac Equation With Concentrated Nonlinearity ⋮ Effective numerical method of spectral analysis of quantum graphs ⋮ Nonlinear propagating localized modes in a 2D hexagonal crystal lattice ⋮ Mathematical theory for topological photonic materials in one dimension
This page was built for publication: Nonlinear Waves in Shallow Honeycomb Lattices
