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

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  • Özer, Mehmet Naci
  • Taşcan, Filiz

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.

Suggested Citation

  • Özer, Mehmet Naci & Taşcan, Filiz, 2009. "Derivation of Korteweg–de Vries flow equations from nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2265-2270.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2265-2270
    DOI: 10.1016/j.chaos.2007.10.012
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
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