Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774018 | Journal of Differential Equations | 2017 | 31 Pages |
Abstract
In this paper we establish the orbital stability of periodic waves related to the logarithmic Korteweg-de Vries equation. Our motivation is inspired in the recent work [3], in which the authors established the well-posedness and the linear stability of Gaussian solitary waves. By using the approach put forward recently in [20] to construct a smooth branch of periodic waves as well as to get the spectral properties of the associated linearized operator, we apply the abstract theories in [13] and [25] to deduce the orbital stability of the periodic traveling waves in the energy space.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fábio Natali, Ademir Pastor, FabrÃcio Cristófani,