Browsing by Author "Özer, Mehmet Naci"
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Derivation of Korteweg-de Vries flow equations from modified nonlinear Schrodinger equation
Özer, Mehmet Naci; Tascan, Filiz; Koparan, Murat (Pergamon-Elsevier Science LTD, 2010)We perform a multiple scales analysis on the modified nonlinear Schrodinger (MNLS) equation in the Hamiltonian form. We derive, as amplitude equations, Korteweg-de Vries (KdV) flow equations in the bi-Hamiltonian form -
Derivation of Korteweg-de Vries flow equations from the regularized long-wave (RLW) equation
Özer, Mehmet Naci; Koparan, Murat (Elsevier Science Inc, 2011)We perform a multiple-time scales analysis and compatibility condition to the regularized long-wave (RLW) equation. We derive Korteweg-de Vries (KdV) flow equation in the bi-Hamiltonian form as an amplitude equation