Spectral stability of periodic waves for the Drinfeld-Sokolov-Wilson equation

HAKKAEV S. A.

Journal of Mathematical Analysis and Applications, cilt.533, sa.1, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 533 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/j.jmaa.2023.128016
  • Dergi Adı: Journal of Mathematical Analysis and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Anahtar Kelimeler: Nonlinear wave equation, Periodic traveling waves, Spectral stability
  • Trakya Üniversitesi Adresli: Evet

Özet

The nonlinear dispersive system is considered in the periodic context. The main goal of the paper is to study spectral stability of periodic traveling waves. We show that under certain conditions of the parameters the cnoidal waves are spectrally stable/unstable and dnoidal waves are spectrally stable for all values of the parameters. The proof relies on an instability index count theory for Hamiltonian system developed in [19].