1307.0603 (C. Klein et al.)

Numerical study of blow-up in solutions to generalized Korteweg-de Vries
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C. Klein, R. Peter

We present a numerical study of solutions to general Korteweg-de Vries equations with critical and supercritical nonlinearity. We study the stability of solitons, the small dispersion limit and the appearance of blow-up in the solution. It is shown that solitons are unstable against being radiated away and blow-up. In the cases with blow-up, we use a dynamic rescaling to identify the type of the singularity.

View original: http://arxiv.org/abs/1307.0603