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

Ozer, Mehmet; TAŞCAN, FİLİZ; KOPARAN, MURAT

doi:10.1016/j.nonrwa.2009.09.009

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

Ozer M. N., TAŞCAN F., KOPARAN M.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, vol.11, no.4, pp.2619-2623, 2010 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 11 Issue: 4
Publication Date: 2010
Doi Number: 10.1016/j.nonrwa.2009.09.009
Journal Name: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.2619-2623
Keywords: NLS equation, KdV equation, Multiple scales, Hamiltonian, MARGINAL STATE, PULSE-PROPAGATION, MODULATION, WAVES
Anadolu University Affiliated: Yes

Abstract

We perform a multiple scales analysis on the modified nonlinear Schrodinger (MNLS) equation in the Hamiltonian form. We derive, as amplitude equations, Korteweg-de Vries (KdV) flow equations in the bi-Hamiltonian form. (C) 2009 Elsevier Ltd. All rights reserved.