Korteweg-de Vries Flow Equations from Manakov Equation by Multiple Scale method

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.

Bibliographic Details
Main Authors: M. Naci Ozer, Murat Koparan
Format: Article
Language:English
Published: BİSKA Bilisim Company 2015-02-01
Series:New Trends in Mathematical Sciences
Subjects:
Online Access:http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=68
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:2147-5520
2147-5520