Perfectly matched layers for coupled nonlinear Schrödinger equations with mixed derivatives

DOI10.1016/j.jcp.2009.08.023zbMath1177.65154arXiv0905.2321OpenAlexW1971223607MaRDI QIDQ1038040

Tomáš Dohnal

Publication date: 17 November 2009

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

Full work available at URL: https://arxiv.org/abs/0905.2321

zbMATH Keywords

stabilityconvergencenumerical examplessolitonscoupled nonlinear Schrödinger equationsgroup velocityperfectly matched layersmixed derivativesnonlinear periodic structures

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation, Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains, On the non-equivalence of perfectly matched layers and exterior complex scaling, Nonlinear wave equations from a non-local complex backward–forward derivative operator, Perfectly matched layers for Schrödinger-type equations with nontrivial energy-momentum dispersion, Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates, The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions, Combined compact difference scheme for linear second-order partial differential equations with mixed derivative, Perfectly matched layer absorbing boundary condition for nonlinear two-fluid plasma equations, Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain

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