Numerical Study of Quantized Vortex Interactions in the Nonlinear Schrödinger Equation on Bounded Domains

DOI10.1137/130906489zbMath1320.35317OpenAlexW2040689767MaRDI QIDQ5250338

Qinglin Tang, Weizhu Bao

Publication date: 19 May 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5be89c2bebd5093f59efb8304741f4b1f40c40f0

zbMATH Keywords

nonlinear Schrödinger equationDirichlet boundary conditionhomogeneous Neumann boundary conditiontime splittingreduced dynamical lawsquantized vortex

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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