Mathematics / Matematik

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

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Subject: search.filters.subject.Rational solution

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 9
    Citation - Scopus: 9
    Multi-Wave and Rational Solutions for Nonlinear Evolution Equations
    (Walter de Gruyter GmbH, 2010) Aslan, İsmail; Aslan, İsmail; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    Nonlinear evolution equations always admit multi-soliton and rational solutions. The Burgers equation is used as an example, and the exp-function method is used to eluciadte the solution procedure.
  • Article
    Citation - WoS: 13
    Citation - Scopus: 14
    Rational and Multi-Wave Solutions To Some Nonlinear Physical Models
    (Editions de l'Academie Republique Populaire, 2013) Aslan, İsmail; Aslan, İsmail; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    The Exp-function method is shown to be an effective tool to explicitly construct rational and multi-wave solutions of completely integral nonlinear evolution equations. The procedure does not require the bilinear representation of the equation. The method is straightforward, concise, and its applications to other types of nonlinear evolution equations are promising.
  • 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; Aslan, İsmail; 04.02. Department of Mathematics; 04. Faculty of Science; 01. Izmir Institute of Technology
    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.