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

@article{Bao2014NumericalSO,
title={Numerical Study of Quantized Vortex Interactions in the Nonlinear Schr{\"o}dinger Equation on Bounded Domains},
author={Weizhu Bao and Qinglin Tang},
journal={Multiscale Model. Simul.},
year={2014},
volume={12},
pages={411-439}
}
• Published 1 April 2014
• Physics
• Multiscale Model. Simul.
In this paper, we study numerically quantized vortex dynamics and their interactions in the two-dimensional (2D) nonlinear Schrodinger equation (NLSE) with a dimensionless parameter $\varepsilon>0$ proportional to the size of the vortex core on bounded domains under either a Dirichlet or a homogeneous Neumann boundary condition (BC). We begin with a review of the reduced dynamical laws for time evolution of quantized vortex centers and show how to solve these nonlinear ordinary differential…
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