2019/03/30 by Gisele Detomazi Almeida, Almeida, Gisele Detomazi, Fabrício Cristófani +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.1904.01512
openalex publication_date 2019/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we present the first result concerning the orbital stability\nof periodic traveling waves for the modified Kawahara equation. Our method is\nbased on the Fourier expansion of the periodic wave in order to know the\nbehaviour of the nonpositive spectrum of the associated linearized operator\naround the periodic wave combined with a recent development which significantly\nsimplifies the obtaining of orbital stability results.\n