HAMILTON’S INSTABILITY INDEX AND APPLICATIONS TO PERIODIC WAVES

HAKKAEV S. A.

Mathematics and Education in Mathematics, cilt.50, ss.102-110, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50
  • Basım Tarihi: 2021
  • Dergi Adı: Mathematics and Education in Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.102-110
  • Anahtar Kelimeler: linear stability, nonlinear wave equation, periodic traveling waves
  • Trakya Üniversitesi Adresli: Hayır

Özet

In this survey we present some results on the stability of periodic waves. The main objective is to study their stability with respect to co-periodic perturbations. In our considerations, we rely on an instability index count theories, which in turn critically depend on a detailed spectral analysis of a self-adjoint both scalar and matrix Hill operators, and in the computations of the quantities involved on the stability index.