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Remarks on the orbital stability of ground state solutions of fKdV and related equations

By Felipe Linares, Didier Pilod and Jean-Claude Saut

Abstract

The aim of this paper is to provide a proof of the (conditional) orbital stability of solitary waves solutions to the fractional Korteweg- de Vries equation (fKdV) and to the fractional Benjamin-Bona-Mahony (fBBM) equation in the $L^2$ subcritical case. We also discuss instability and its possible scenarios

Topics: Mathematics - Analysis of PDEs
Year: 2015
OAI identifier: oai:arXiv.org:1503.03084

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