Orbital stability of solitary waves of the Schrödinger-Boussinesq equation

HAKKAEV S. A.

Communications on Pure and Applied Analysis, cilt.6, sa.4, ss.1043-1050, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 4
  • Basım Tarihi: 2007
  • Doi Numarası: 10.3934/cpaa.2007.6.1043
  • Dergi Adı: Communications on Pure and Applied Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1043-1050
  • Anahtar Kelimeler: Schrödinger-Boussinesq equation, Solitary wave, Stability
  • Trakya Üniversitesi Adresli: Hayır

Özet

This paper concerns the orbital stability of solitary waves of the Schrödinger-Boussinesq equation {i∂tu + ∂t2u + uv = 0 (0.1) ∂t2v - ∂t2v + ∂x4 v + ∂x2(3v2 + |u|2) = 0. By applying the abstract results of Grillakis, Shatah and Strauss [11, 12] and detailed spectral analysis developed by Lopes in [17], we obtain the stability of solitary waves.