u - ACMAC
u - ACMAC
u - ACMAC
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Stability of exact solutions<br />
✦<br />
KdV soliton lineary stable for KP II, lineary<br />
unstable for KP I (nonlinear instability by<br />
Zakharov, Rousset-Tzvetkov: stable for small<br />
amplitude)<br />
✦<br />
long time asymptotics for small initial data for<br />
KP I: lumps + radiation (Ablowitz, Fokas 1983)<br />
✦<br />
numerical study: periodic setting, exact solutions<br />
propagated with machine precision (test of<br />
precision), perturbations satisfy constraint<br />
Dienstag, 29. Mai 2012