Derivation of Korteweg–de Vries flow equations from modified nonlinear Schrödinger equation

We perform a multiple scales analysis on the modified nonlinear Schrödinger (MNLS) equation in the Hamiltonian form. We derive, as amplitude equations, Korteweg–de Vries (KdV) flow equations in the bi-Hamiltonian form.

Saved in:
Bibliographic Details
Published in:Nonlinear analysis: real world applications 2010-08, Vol.11 (4), p.2619-2623
Main Authors: Özer, Mehmet Naci, Taşcan, Filiz, Koparan, Murat
Format: Article
Language:English
Subjects:
Hamiltonian
KdV equation
Multiple scales
NLS equation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We perform a multiple scales analysis on the modified nonlinear Schrödinger (MNLS) equation in the Hamiltonian form. We derive, as amplitude equations, Korteweg–de Vries (KdV) flow equations in the bi-Hamiltonian form.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2009.09.009