Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates

DOI10.1016/j.cnsns.2020.105406zbMath1453.65353OpenAlexW3034942258MaRDI QIDQ2208208

Xavier Antoine, Qinglin Tang, Christophe A. Geuzaine

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105406

zbMATH Keywords

nonlinear Schrödinger equationBose-Einstein condensateFourier pseudospectral methodtime-splitting schemeperfectly matched layersrotating Gross-Pitaevskii equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes ⋮ Numerical solution of nonlinear Schrödinger equation with damping term on unbounded domain ⋮ An accelerated novel meshless coupled Algorithm for non-local nonlinear behavior in 2D/3D space-fractional GPEs ⋮ Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain ⋮ A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions ⋮ Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift

Uses Software

• GPELab

Cites Work

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