Orbital Stability and Instability of Solitary Waves for a Class of Dispersive Symmetric Regularized Long-Wave Equation

HAKKAEV S. A.

Mediterranean Journal of Mathematics, cilt.16, sa.4, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00009-019-1361-7
  • Dergi Adı: Mediterranean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: orbital stability, regularized long-wave equation, Solitary waves
  • Trakya Üniversitesi Adresli: Hayır

Özet

This paper studies the orbital stability and instability of solitary wave solutions of the generalized symmetric regularized long-wave-type equations. It is shown that a traveling wave may be stable or unstable depending on the range of the waves speed of propagation and the relation between the dispersion (i.e., the order of the pseudodifferential operator) and the nonlinearity.