Dergiler / New Trends in Mathematical Sciences / 2015 / Cilt: 3 Sayı: 2

Mehmet Naci Ozer1and Murat Koparan2

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

M. Naci Ozer, Murat Koparan

Sayfa
126–132
DOI
—

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