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

Autor(es)

Almeida, Gisele Detomazi ^[1] ; Cristofani, Fabricio ^[2] ; Natali, Fabio ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Tocantins, Curso Licenciatura Matemat, Arraias - Brazil

^[2] IMECC Unicamp, Campinas, SP - Brazil

^[3] Univ Estadual Maringa, Dept Matemat, Maringa, Parana - Brazil

• Tipo de documento: Artigo Científico
• Fonte: APPLICABLE ANALYSIS; v. 100, n. 8 AUG 2019.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 17/20760-0 - Métodos variacionais e estabilidade de ondas periódicas para sistemas de equações dispersivas não lineares
• Beneficiário: Fabrício Cristófani
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado