Nonlinear instability of a critical traveling wave in the generalized Korteweg -- de Vries equation
| dc.creator | Comech, Andrew | |
| dc.creator | Cuccagna, Scipio | |
| dc.creator | Pelinovsky, Dmitry | |
| dc.date | 2006-09-01 | |
| dc.date.accessioned | 2026-07-07T07:24:23Z | |
| dc.date.available | 2026-07-07T07:24:23Z | |
| dc.description | We prove the instability of a ``critical'' solitary wave of the generalized Korteweg -- de Vries equation, the one with the speed at the border between the stability and instability regions. The instability mechanism involved is ``purely nonlinear'', in the sense that the linearization at a critical soliton does not have eigenvalues with positive real part. We prove that critical solitons correspond generally to the saddle-node bifurcation of two branches of solitons. | |
| dc.description | 34 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0609010 | |
| dc.identifier | http://arxiv.org/abs/math/0609010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116330 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.title | Nonlinear instability of a critical traveling wave in the generalized Korteweg -- de Vries equation | |
| dc.type | text |