Numerical computation of solutions of the critical nonlinear Schrodinger equation after the singularity

Details Numerical computation of solutions of the critical nonlinear Schrodinger equation after the singularity Numerical computation of solutions of the critical nonlinear Schrodinger equation after the singularity

2010-10-11

arxiv.org/abs/1010.2246v1

Mathematics

Numerical Analysis

17 pages, 8 color figures

Scientific paper

We present numerical results for the solution of the 1D critical nonlinear Schrodinger with periodic boundary conditions and initial data that give rise to a finite time singularity. We construct, through the Mori-Zwanzig formalism, a reduced model which allows us to follow the solution after the formation of the singularity. The computed post-singularity solution exhibits the same characteristics as the post-singularity solutions constructed recently by Terence Tao.

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