Spectral stability of periodic waves for the Zakharov system

HAKKAEV S. A., Stanislavova M., Stefanov A. G.

Journal of Mathematical Physics, cilt.64, sa.8, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 8
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1063/5.0106133
  • Dergi Adı: Journal of Mathematical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, MathSciNet, zbMATH, DIALNET
  • Trakya Üniversitesi Adresli: Evet

Özet

This paper is concerned with the stability of periodic traveling waves of dnoidal type, of the Zakharov system. This problem was considered in a study of Angulo and Brango [Nonlinearity 24, 2913 (2011)]. In particular, it was shown that under a technical condition on the perturbation, such waves are orbitally stable, with respect to perturbations of the same period. Our main result fills up the gap created by the aforementioned technical condition. More precisely, we show that for all natural values of the parameters, the periodic dnoidal waves are spectrally stable.