Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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

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  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Application of the Division Theorem To Nonlinear Physical Models for Constructing Traveling Waves
    (Politechnica University of Bucharest, 2013) Aslan, İsmail
    We extend the so-called first integral method, which is based on the division theorem, to the Sharma-Tasso-Olver equation and the (2+1)-dimensional modified Boussinesq equation. Our approach provides first integrals in polynomial form with a high accuracy for two-dimensional plane autonomous systems. Traveling wave solutions are constructed through the established first integrals.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Rational and Multi-Wave Solutions To Nonlinear Evolution Equations by Means of the Exp-Function Method
    (Politechnica University of Bucharest, 2012) Aslan, İsmail
    In this paper, we present a new application of the Exp-function method to carry out the integration of nonlinear evolution equations in terms of multi-wave and rational solutions. To elucidate the solution procedure, we analytically investigate the Sharma-Tasso-Olver equation and the fifth-order Korteweg de Vries equation. Unlike Hirota's method, our procedure does not require the bilinear formalism of the equations studied.