Derivation of Korteweg-de Vries flow equations from fourth order nonlinear Schrodinger equation
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.37, no.3, pp.402-407, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 37 Issue: 3
- Publication Date: 2014
- Doi Number: 10.1002/mma.2799
- Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.402-407
- Keywords: nonlinear Schrodinger equation, KdV equation, multiple scales method, PERIODIC-SOLUTIONS, WAVE SOLUTIONS, PERTURBATION
- Anadolu University Affiliated: Yes
Abstract
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.