Small dispersion KP solution (ε=0.1)


In the small dispersion limit (ε << 1), KP solutions develop a zone of rapid modulated oscillations near shocks of the dispersionless KP equation. The video shows the solution for ε = 0.1 for the initial data with compact support, see 20/2006 for details. There are two oscillatory regions for the shown initial data.

C. Klein, C. Sparber and P. Markowich