Instability of solitons for the critical generalized Korteweg—de Vries equation
- Cite this article as:
- Martel, Y. & Merle, F. GAFA, Geom. funct. anal. (2001) 11: 74. doi:10.1007/PL00001673
We prove in this paper the instability of the solitons for the critical generalized Korteweg—de Vries equation. We obtain this result by a qualitative study of the solution close to the soliton and obtain a large set of initial data giving the instability. This study is a step towards the existence and description of blow up solutions.