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Remarks on the orbital stability of ground state solutions of fKdV and related equations
Published 10 Mar 2015 in math.AP | (1503.03084v1)
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 $L2$ subcritical case. We also discuss instability and its possible scenarios.
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