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

Koparan M.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.37, sa.3, ss.402-407, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1002/mma.2799
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.402-407
  • Anahtar Kelimeler: nonlinear Schrodinger equation, KdV equation, multiple scales method, PERIODIC-SOLUTIONS, WAVE SOLUTIONS, PERTURBATION
  • Anadolu Üniversitesi Adresli: Evet

Özet

We perform a multiple scale analysis on the fourth order nonlinear Schrodinger equation in the Hamiltonian form together with the Hamiltonian function. We derive, as amplitude equations, Korteweg-de Vries flow equations in the bi-Hamiltonian form with the corresponding Hamiltonian functions. Copyright (c) 2013 John Wiley & Sons, Ltd.