Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Author: search.filters.author.Aslan, İsmailSubject: search.filters.subject.Partial differential equations

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 25
    Citation - Scopus: 27
    Some Remarks on Exp-Function Method and Its Applications
    (IOP Publishing Ltd., 2011) Aslan, İsmail; Marinakis, Vangelis
    Recently, many important nonlinear partial differential equations arising in the applied physical and mathematical sciences have been tackled by a popular approach, the so-called Exp-function method. In this paper, we present some shortcomings of this method by analyzing the results of recently published papers. We also discuss the possible improvement of the effectiveness of the method.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    The Discrete (g'/g)-expansion Method Applied To the Differential-Difference Burgers Equation and the Relativistic Toda Lattice System
    (John Wiley and Sons Inc., 2012) Aslan, İsmail
    We introduce the discrete (G′/G)-expansion method for solving nonlinear differential-difference equations (NDDEs). As illustrative examples, we consider the differential-difference Burgers equation and the relativistic Toda lattice system. Discrete solitary, periodic, and rational solutions are obtained in a concise manner. The method is also applicable to other types of NDDEs. © 2010 Wiley Periodicals, Inc.
  • Article
    Citation - WoS: 26
    Citation - Scopus: 27
    Analytic Solutions To Nonlinear Differential-Difference Equations by Means of the Extended (g'/g)-expansion Method
    (IOP Publishing Ltd., 2010) Aslan, İsmail
    In this paper, a discrete extension of the (G′/G)-expansion method is applied to a relativistic Toda lattice system and a discrete nonlinear Schrödinger equation in order to obtain discrete traveling wave solutions. Closed form solutions with more arbitrary parameters, which reduce to solitary and periodic waves, are exhibited. New rational solutions are also obtained. The method is straightforward and concise, and its applications in physical sciences are promising. © 2010 IOP Publishing Ltd.