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