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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.)

On the stability of periodic traveling waves for the modified Kawahara equation

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Author(s):
Almeida, Gisele Detomazi [1] ; Cristofani, Fabricio [2] ; Natali, Fabio [3]
Total Authors: 3
Affiliation:
[1] Univ Fed Tocantins, Curso Licenciatura Matemat, Arraias - Brazil
[2] IMECC Unicamp, Campinas, SP - Brazil
[3] Univ Estadual Maringa, Dept Matemat, Maringa, Parana - Brazil
Total Affiliations: 3
Document type: Journal article
Source: APPLICABLE ANALYSIS; v. 100, n. 8 AUG 2019.
Web of Science Citations: 1
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. (AU)

FAPESP's process: 17/20760-0 - Variational methods and stability of periodic waves for nonlinear dispersive systems
Grantee:Fabrício Cristófani
Support Opportunities: Scholarships in Brazil - Post-Doctoral