Derivation of Korteweg-de Vries flow equations from nonlinear Schrodinger equation

ÖZER M. N., TAŞCAN F.

CHAOS SOLITONS & FRACTALS, cilt.40, sa.5, ss.2265-2270, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 5
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.chaos.2007.10.012
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2265-2270
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

We perform a multiple scales analysis on the nonlinear Schrodinger (NLS) equation in the Hamiltonian form together with the Hamiltonian function. We derive, as amplitude equations, Korteweg-de Vries (KdV) flow equations in the bi-Hamiltonian form with the corresponding Hamiltonian functions. (C) 2007 Elsevier Ltd. All rights reserved.