Elementary Vortex Filament Model of the Discrete Nonlinear Schrödinger Equation

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  • Nakayama Kazuaki
    Department of Mathematical Sciences, Faculty of Science, Shinshu University

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  • Elementary vortex filament model of the discrete nonlinear Schrodinger equation

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The discretization of a vortex filament is studied. A discrete vortex model and a discrete version of the local induction approximation technique (LIA), which guarantees that the vortex filament obeys the discrete nonlinear Schrödinger equation, is proposed.

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