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Small dispersion limit of the KdV and semiclassical limit of focusing NLS

Grava, T (SISSA)
Wednesday 28 March 2007, 10:30-11:00

Seminar Room 1, Newton Institute


We compare numerically the small dispersion limit of the Korteweg de Vries equation with the asymptotic formulas obtained in the works of Lax-Levermore and Deif-Venakides and Zhou. We compare numerically the semiclassical limit of the focusing nonlinear Schrodinger equation with the asymptotic formula obtained in the works of Kamvissis-McLaughlin-Miller and Tovbis-Venakides-Zhou. As a results we outline the regions of the (x,t) where the above asymptotic formulas give a satisfactory description of the respective equations.




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