2014/08/07 by Fábio Natali, Natali, Fábio, Ademir Pastor +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1408.1709
openalex publication_date 2014/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \citecarles, in which the authors established the well-posedness and the linear stability of Gaussian solitary waves. By using the approach put forward recently in \citenatali1 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 \citegrillakis1 and \citeweinstein1 to deduce the orbital stability of the periodic traveling waves in the energy space.