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Derivation of Korteweg‐de Vries flow equations from fourth order nonlinear Schrödinger equation
Author(s) -
Koparan Murat
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2799
Subject(s) - mathematics , korteweg–de vries equation , mathematical physics , hamiltonian (control theory) , nonlinear system , hamiltonian system , nonlinear schrödinger equation , dispersionless equation , mathematical analysis , schrödinger equation , kadomtsev–petviashvili equation , partial differential equation , burgers' equation , physics , quantum mechanics , mathematical optimization
We perform a multiple scale analysis on the fourth order nonlinear Schrödinger equation in the Hamiltonian form together with the Hamiltonian function. We derive, as amplitude equations, Korteweg‐de Vries flow equations in the bi‐Hamiltonian form with the corresponding Hamiltonian functions. Copyright © 2013 John Wiley & Sons, Ltd.