## Advances in Differential Equations

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

#### 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.

#### Article information

Source
Adv. Differential Equations Volume 20, Number 9/10 (2015), 835-858.

Dates
First available in Project Euclid: 23 June 2015

Permanent link to this document
https://projecteuclid.org/euclid.ade/1435064515

Mathematical Reviews number (MathSciNet)
MR3360393

Zentralblatt MATH identifier
1325.35195

#### Citation

Linares, Felipe; Pilod, Didier; Saut, Jean-Claude. Remarks on the orbital stability of ground state solutions of fKdV and related equations. Adv. Differential Equations 20 (2015), no. 9/10, 835--858. https://projecteuclid.org/euclid.ade/1435064515.