Blow up in finite time and dynamics of blow up solutions for the \(L^2\)-critical generalized KdV equation. (English) Zbl 0996.35064
The phenomenon of blow up in finite time of solutions to the critical generalized KdV equation is studied. Theorems of existence are proved.
Reviewer: Igor Andrianov (Köln)
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 37K40 | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems |
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