Small dispersion KP solution (ε =0.01)

Small dispersion KP solution (ε =0.01)

In the small dispersion limit (ε << 1), KP solutions develop a zone of rapid modulated oscillations near shocks of the dispersionless KP equation. In Low dispersion KP solution (1e-2) we show the solution for ε=0.1 and for initial data with compact support which develop two oscillatory zone. Here we present these two oscillatory zones for the same initial data for ε=0.01, see 20/2006 for details.

C. Klein, C. Sparber and P. Markowich