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

Abstract

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

Keywords

• Manakov Equation,Multiple Scale method; Flow Equation

Mehmet Naci Ozer1and Murat Koparan2

Öz

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