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A potential projection method for the nonlinear Schrödinger equation with low regularity potential

Bao, Weizhu et al.
arXiv (All) · Papers
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35q5565m12numerical-analysis
We propose a potential projection (PP) method for the nonlinear Schrödinger equation (NLSE) with low-regularity and singular potentials by replacing the potential with its Fourier projection (truncated Fourier series). This gives rise to an NLSE with projected potential (NLSEwPP). We rigorously esta
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