19 citations · 26 across the 3 of their papers we have counts for
4 papers
Numerical study of blow-up in solutions to generalized Kadomtsev-Petviashvili equations
C. Klein, R. Peter
We present a numerical study of solutions to the generalized Kadomtsev-Petviashvili equations with critical and supercritical nonlinearity for localized initial data with a single…
Numerical study of blow-up in solutions to generalized Korteweg-de Vries equations
C. Klein, R. Peter
We present a detailed numerical study of solutions to general Korteweg-de Vries equations with critical and supercritical nonlinearity. We study the stability of solitons and show…
Blow-up of the non-equivariant 2+1 dimensional wave map
Jörg Frauendiener, Ralf Peter
It has been known for a long time that the equivariant 2+1 wave map into the 2-sphere blows up if the initial data are chosen appropriately. Here, we present numerical evidence for…
Free Versus Constrained Evolution of the 2+1 Equivariant Wave Map
Ralf Peter, Jörg Frauendiener
We compare the numerical solutions of the 2+1 equivariant Wave Map problem computed with the symplectic, constraint respecting Rattle algorithm and the well known fourth order Rung…