A numerical study of the semi-classical limit of the focusing nonlinear Schrödinger equation

We study the solution of the focusing nonlinear Schrodinger equation in the semiclassical limit. Numerical solutions are presented for four different kinds of initial data, of which three are analytic and one is nonanalytic. We verify numerically the weak convergence of the oscillatory solution by examining the strong convergence of the spatial average of the solution.

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