Spectral stability for subsonic traveling pulses of the boussinesq "abc" system

HAKKAEV S. A., Stanislavova M., Stefanov A.

SIAM Journal on Applied Dynamical Systems, cilt.12, sa.2, ss.878-898, 2013 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1137/120891782
  • Dergi Adı: SIAM Journal on Applied Dynamical Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.878-898
  • Anahtar Kelimeler: Boussinesq system, Linear stability, Traveling waves
  • Trakya Üniversitesi Adresli: Hayır

Özet

We consider the spectral stability of certain traveling wave solutions for the Boussinesq "abc" system. More precisely, we consider the explicit sech2(x) like solutions of the form ((x - wt),?(x - wt) = ( const.), exhibited by M. Chen [Appl. Math. Lett., 11 (1998), pp. 45-49], [Internat. J. Theoret. Phys., 37, (1998), pp. 1547-1567], and we provide a complete rigorous characterization of the spectral stability in all cases for which a = c < 0, b > 0. © 2013 Society for Industrial and Applied Mathematics.