Stability properties of periodic traveling waves for the intermediate long wave equation

Jaime Angulo Pava ^[1] ; Eleomar Cardoso Jr. ^[2] ; Fábio Natali ^[2]
1. [1] Universidade de São Paulo
  
  Universidade de São Paulo
  
  Brasil
2. [2] Universidade Estadual de Maringá
  
  Universidade Estadual de Maringá
  
  Brasil
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 2, 2017, págs. 417-448
Idioma: inglés
DOI: 10.4171/RMI/943
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Resumen
- In this paper we determine orbital and linear stability of a class of spatially periodic wavetrain solutions with the mean zero property related to the intermediate long wave equation. Our arguments follow recent developments for the study of the stability of periodic traveling waves.