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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Orbital stability of periodic traveling-wave solutions for the log-KdV equation

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Author(s):
Natali, Fabio ; Pastor, Ademir ; Cristofani, Fabricio
Total Authors: 3
Document type: Journal article
Source: Journal of Differential Equations; v. 263, n. 5, p. 2630-2660, SEP 5 2017.
Web of Science Citations: 3
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. (C) 2017 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 13/08050-7 - Nonlinear dispersive evolution equations and applications
Grantee:Ademir Pastor Ferreira
Support type: Regular Research Grants