Mathematics / Matematik

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

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Subject: search.filters.subject.(G′/G)-expansion methodWoS Q: search.filters.wosQuartile.Q2

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 14
    Citation - Scopus: 16
    Analytic Investigation of a Reaction-Diffusion Brusselator Model With the Time-Space Fractional Derivative
    (Walter de Gruyter GmbH, 2014) Aslan, İsmail
    It is well known that many models in nonlinear science are described by fractional differential equations in which an unknown function appears under the operation of a derivative of fractional order. In this study, we propose a reaction-diffusion Brusselator model from the viewpoint of the Jumarie's modified Riemann-Liouville fractional derivative. Based on the (G'/G)-expansion method, various kinds of exact solutions are obtained. Our results could be used as a starting point for numerical procedures as well.
  • Article
    Citation - WoS: 25
    Citation - Scopus: 25
    Exact and Explicit Solutions To the Discrete Nonlinear Schrödinger Equation With a Saturable Nonlinearity
    (Elsevier Ltd., 2011) Aslan, İsmail
    We analyze the discrete nonlinear Schrödinger equation with a saturable nonlinearity through the (G′/G)-expansion method to present some improved results. Three types of analytic solutions with arbitrary parameters are constructed; hyperbolic, trigonometric, and rational which have not been explicitly computed before. © 2011 Elsevier B.V. All rights reserved.
  • 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.