Kurum Yazarı "Koparan, Murat" Temel Eğitim Bölümü İçin Listeleme
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Derivation of Korteweg-de Vries flow equations from fourth order nonlinear Schrodinger equation
Koparan, Murat (Wiley-Blackwell, 2014)We perform a multiple scale analysis on the fourth order nonlinear Schrodinger equation in the Hamiltonian form together with the Hamiltonian function. We derive, as amplitude equations, Korteweg-de Vries flow equations ... -
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 -
Derivation of Korteweg-de Vries flow equations from the short-wave model equation
Koparan, Murat (Wiley-Blackwell, 2014)We perform a multiple-time scales analysis and compatibility condition to the short-wave model equation. We derive Korteweg-de Vries flow equation in the bi-Hamiltonian form as an amplitude equation. Copyright (c) 2013 ... -
Regarding on the exact solutions for the nonlinear fractional differential equations
Kaplan, Melike; Koparan, Murat; Bekir, Ahmet (De Gruyter Open LTD, 2016)In this work, we have considered the modified simple equation (MSE) method for obtaining exact solutions of nonlinear fractional-order differential equations. The space-time fractional equal width (EW) and the modified ... -
Travelling wave solutions of nonlinear evolution equations by using the first integral method
Tascan, Filiz; Bekir, Ahmet; Koparan, Murat (Elsevier Science BV, 2009)In this paper, we established travelling wave Solutions for some (2 + 1)-dimensional nonlinear evolution equations. The first integral method was used to construct travelling wave solutions of nonlinear evolution equations. ...