Derivation of Korteweg–de Vries flow equations from nonlinear Schrödinger equation

Mehmet Naci Özer and Filiz Taşcan

Chaos, Solitons & Fractals, 2009, vol. 40, issue 5, 2265-2270

Abstract: We perform a multiple scales analysis on the nonlinear Schrödinger (NLS) equation in the Hamiltonian form together with the Hamiltonian function. We derive, as amplitude equations, Korteweg–de Vries (KdV) flow equations in the bi-Hamiltonian form with the corresponding Hamiltonian functions.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:5:p:2265-2270

DOI: 10.1016/j.chaos.2007.10.012

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