References & Citations
Mathematics > Analysis of PDEs
Title: Instability of the soliton for the focusing, mass-critical generalized KdV equation
(Submitted on 2 Dec 2020)
Abstract: In this paper we prove instability of the soliton for the focusing, mass-critical generalized KdV equation. We prove that the solution to the generalized KdV equation for any initial data with mass smaller than the mass of the soliton and close to the soliton in $L^{2}$ norm must eventually move away from the soliton.
Link back to: arXiv, form interface, contact.