Local well-posedness and orbital stability of solitary wave solutions for the generalized Camassa-Holm equation

HAKKAEV S. A., Kirchev K.

Communications in Partial Differential Equations, cilt.30, sa.4-6, ss.761-781, 2005 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4-6
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1081/pde-200059284
  • Dergi Adı: Communications in Partial Differential Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.761-781
  • Anahtar Kelimeler: Camassa-Holm equation, Local well-posedness, Orbital stability, Solitary waves
  • Trakya Üniversitesi Adresli: Evet

Özet

We establish local well-posedness in the Sobolev space Hs with any s > 3/2 for the generalized Camassa-Holm equation. Furthermore, we consider the stability and instability problem of the solitary wave solutions. Copyright © Taylor & Francis, Inc.