# 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} }

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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