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• W2062068204 abstract "Numerical simulations of the cubic nonlinear Schrödinger equation are presented in dimension N = 2. The emphasis is on a detailed mechanism of blow up. The numerical results indicate that the blow up is not restricted to the case where the problem is posed in the entire R2-space but also occurs with periodic boundary conditions. The structure of the solution as the singular time t* is approached has been investigated using examples with and without radial symmetry and/or periodicity. In most cases we observe that the amplitude develops something like the peaked self-similar profile predicted by Zakharov and Synakh [38] which has a (t*-t)-2/3 maximum amplitude and a (t*-t)2/3 width." @default.
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• W2062068204 date "1984-11-01" @default.
• W2062068204 modified "2023-10-18" @default.
• W2062068204 title "Numerical simulation of singular solutions to the two-dimensional cubic schrödinger equation" @default.
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• W2062068204 doi "https://doi.org/10.1002/cpa.3160370603" @default.
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