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.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Gisele Detomazi Almeida http://orcid.org/0000-0003-2371-8886
Fabrício Cristófani http://orcid.org/0000-0003-0142-2179
Fábio Natali http://orcid.org/0000-0001-6458-2730