Journal article
On the stability of periodic traveling waves for the modified Kawahara equation
Abstract
In this paper, we present the first result concerning the orbital stability of periodic traveling waves for the modified Kawahara equation. Our method is based on the Fourier expansion of the periodic wave in order to know the behavior of the nonpositive spectrum of the associated linearized operator around the periodic wave combined with a recent development which significantly simplifies the obtaining of orbital stability results.
Authors
Almeida GD; Cristófani F; Natali F
Journal
Applicable Analysis, Vol. 100, No. 8, pp. 1660–1667
Publisher
Taylor & Francis
Publication Date
June 11, 2021
DOI
10.1080/00036811.2019.1659955
ISSN
0003-6811