Gisele Detomazi Almeida, Fabrício Cristófani, Fábio Natali
Published 2019-03-31Version 1
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 behaviour 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.
Comments: 8 pages. arXiv admin note: text overlap with arXiv:1902.04402
On the singularities of a free boundary through Fourier expansion
Large-amplitude modulation of periodic traveling waves
Nonlinear Instability of Periodic Traveling Waves
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