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Title: The dynamics and interaction of quantized vortices in the Ginzburg-landau-schrödinger equation
Authors: Zhang, Y.
Bao, W. 
Du, Q.
Keywords: Complex Ginzburg-Landau equation
Ginzburg-Landau equation
Ginzburg-Landau-Schrödinger equation
Nonlinear Schrödinger equation
Reduced dynamic laws
Vortex interaction
Vortex state
Issue Date: 2007
Citation: Zhang, Y., Bao, W., Du, Q. (2007). The dynamics and interaction of quantized vortices in the Ginzburg-landau-schrödinger equation. SIAM Journal on Applied Mathematics 67 (6) : 1740-1775. ScholarBank@NUS Repository.
Abstract: The dynamic laws of quantized vortex interactions in the Ginzburg-Landau-Schrödinger equation (GLSE) are analytically and numerically studied. A review of the reduced dynamic laws governing the motion of vortex centers in the GLSE is provided. The reduced dynamic laws are solved analytically for some special initial data. By directly simulating the GLSE with an efficient and accurate numerical method proposed recently in [Y. Zhang, W. Bao, and Q. Du, Numerical simulation of vortex dynamics in Ginzburg-Landau- Schrödinger equation, European J. Appl. Math., to appear], we can qualitatively and quantitatively compare quantized vortex interaction patterns of the GLSE with those from the reduced dynamic laws. Some conclusive findings are obtained, and discussions on numerical and theoretical results are made to provide further understanding of vortex interactions in the GLSE. Finally, the vortex motion under an inhomogeneous potential in the GLSE is also studied. © 2007 Society for Industrial and Applied Mathematics.
Source Title: SIAM Journal on Applied Mathematics
ISSN: 00361399
DOI: 10.1137/060671528
Appears in Collections:Staff Publications

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