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Korteweg-de Vries Flow Equations from Manakov Equation by Multiple Scale method
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.3, No. 2)Publication Date: 2015-06-01
Authors : M. Naci Ozer; Murat Koparan;
Page : 126-132
Keywords : Korteweg-de Vries (KdV) flow equations Manakov equation Multiple scales method;
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Abstract
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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