Stability of solitary waves for a nonlinear dispersive system in a critical case

HAKKAEV S. A., Kirchev K.

Nonlinear Analysis, Theory, Methods and Applications, cilt.67, sa.10, ss.2890-2899, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 67 Sayı: 10
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.na.2006.09.047
  • Dergi Adı: Nonlinear Analysis, Theory, Methods and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2890-2899
  • Anahtar Kelimeler: Dispersive system, Solitary wave, Stability
  • Trakya Üniversitesi Adresli: Hayır

Özet

We study a nonlinear dispersive system with critical power nonlinearities. Building on the works of Weinstein and Angulo, Bona, Linares, and Scialom, a conditional stability, modulo the group of translations in space and dilations, is proved for a solitary wave solution. © 2006 Elsevier Ltd. All rights reserved.