Stability of two soliton collision for nonintegrable gKdV equations

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dc.creatorMartel, Yvan
dc.creatorMerle, Frank
dc.date2007-09-17
dc.date.accessioned2026-07-07T08:30:06Z
dc.date.available2026-07-07T08:30:06Z
dc.descriptionWe continue our study of the collision of two solitons for the subcritical generalized KdV equations. In a previous paper, mainly devoted to the case of the quartic gKdV equation, we have introduced a new framework to understand the collision of two solitons in the case where one soliton is small with respect to the other. In this paper, we consider the case of a general nonlinearity $f(u)$ for which the two solitons are nonlinearly stable. We prove that in this situation the two solitons survive and we describe the collision at the main orders.
dc.identifierhttps://arxiv.org/abs/0709.2677
dc.identifierhttp://arxiv.org/abs/0709.2677
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138156
dc.subjectAnalysis of PDEs
dc.subject35Q53; 35B40
dc.titleStability of two soliton collision for nonintegrable gKdV equations
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