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We present the results of a large number of careful numerical experiments carried out to investigate the way that the solution of the integrable focusing nonlinear Schrodinger equation with - xed ini...
In this paper, we describe the asymptotic behaviour of globally defined solutions and of bounded solutions blowing up in finite time of the radial energy-critical focusing non-linear wave equation in ...
The small dispersion limit of the focusing nonlinear Schro\"odinger equation (NLS) exhibits a rich structure of sharply separated regions exhibiting disparate rapid oscillations at microscopic scales....
We study dynamics near the threshold for blowup in the focusing nonlinear Klein-Gordon equa- tion utt −uxx +u−|u|2 u = 0 on the line. Using mixed numerical and analytical methods we find ...
Potential scattering problems governed by the time dependent Gross-Pitaevskii equation are investigated numerically for various values of coupling constants. The initial condition is assumed to have t...
We present some numerical findings concerning the nature of the blowup vs. global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation in three dimensions for radial data. The co...

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