Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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Author: search.filters.author.Aslan, İsmailPublisher: search.filters.publisher.Elsevier

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Now showing 1 - 3 of 3
  • Article
    A Supplement To the Paper of Zayed Et Al. [optik, 170 (2018) 339-341]
    (Elsevier, 2019) Aslan, İsmail
    It seems that the results obtained by the so-called Khater method contain computational or print errors. We look at this issue from a different point of a view, namely, from a theoretical side. We prove our claim by a formal direct approach instead of back substitution (trial and error) approach.
  • Article
    Citation - WoS: 22
    Citation - Scopus: 26
    On the Application of the Exp-Function Method To the Kp Equation for N-Soliton Solutions
    (Elsevier, 2012) Aslan, İsmail
    We observe that the form of the Kadomstev-Petviashvili equation studied by Yu (2011) [S. Yu, N-soliton solutions of the KP equation by Exp-function method, Appl. Math. Comput. (2011) doi:10.1016/j.amc.2010.12.095] is incorrect. We claim that the N-soliton solutions obtained by means of the basic Exp-function method and some of its known generalizations do not satisfy the equation considered. We emphasize that Yu's results (except only one) cannot be solutions of the correct form of the Kadomstev-Petviashvili equation. In addition, we provide some correct results using the same approach.
  • Article
    Comment On: the (g'/g)-expansion Method for the Nonlinear Lattice Equations [commun Nonlinear Sci Numer Simulat 17 (2012) 3490-3498]
    (Elsevier, 2012) Aslan, İsmail
    We show that two of the nonlinear lattice equations studied by Ayhan & Bekir [Commun Nonlinear Sci Numer Simulat 17 (2012) 3490-3498] have already been investigated by Aslan [Commun Nonlinear Sci Numer Simulat 15 (2010) 1967-1973] using an improved version of the same method. The solutions obtained by the latter one include the solutions obtained by the former one. © 2012 Elsevier B.V.