Advances in Differential Equations
- Adv. Differential Equations
- Volume 20, Number 9/10 (2015), 835-858.
Remarks on the orbital stability of ground state solutions of fKdV and related equations
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.
Adv. Differential Equations Volume 20, Number 9/10 (2015), 835-858.
First available in Project Euclid: 23 June 2015
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10] 35B35: Stability 76B25: Solitary waves [See also 35C11] 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction [See also 35Q30]
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.