Derivation of Korteweg-de Vries flow equations from fourth order nonlinear Schrodinger equation
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.37, sa.3, ss.402-407, 2014 (SCI-Expanded, Scopus)
- 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.