Long-wave short-wave resonance case for a generalized Davey-Stewartson system

Babaoglu C.

CHAOS SOLITONS & FRACTALS, cilt.38, sa.1, ss.48-54, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 1
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.chaos.2008.02.007
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.48-54
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

It is observed that the generalized Davey-Stewartson equations are not valid for a long-wave short-wave resonance case. In the case where the phase velocity of the long longitudinal wave is equal to the group velocity of the short transverse wave, new (2 + 1) dimensional evolution equations, called the long-wave short-wave interaction equations, are derived to describe the resonance case. The special solutions of the long-wave short-wave interaction equations are also obtained in terms of Jacobian elliptic functions. (c) 2008 Elsevier Ltd. All rights reserved.