Mathematics / Matematik

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

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Author: search.filters.author.Aslan, İsmailSubject: search.filters.subject.Schrödinger equation

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    Some Exact and Explicit Solutions for Nonlinear Schrödinger Equations
    (Polish Academy of Sciences, 2013) Aslan, İsmail
    Nonlinear models occur in many areas of applied physical sciences. This paper presents the first integral method to carry out the integration of Schrödinger-type equations in terms of traveling wave solutions. Through the established first integrals, exact traveling wave solutions are obtained under some parameter conditions.
  • Article
    Citation - WoS: 23
    Citation - Scopus: 26
    Travelling Wave Solutions To Nonlinear Physical Models by Means of the First Integral Method
    (Springer Verlag, 2011) Aslan, İsmail
    This paper presents the first integral method to carry out the integration of nonlinear partial differential equations in terms of travelling wave solutions. For illustration, three important equations of mathematical physics are analytically investigated. Through the established first integrals, exact solutions are successfully constructed for the equations considered. © Indian Academy of Sciences.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 8
    Some Exact and Explicit Solutions To a Two-Component, Discrete, Nonlinear Schrödinger Model
    (National Research Council of Canada, 2011) Aslan, İsmail
    Natural processes and phenomena often display discrete structure. The discrete nonlinear Schrödinger equations are used in both physics and biology to model periodic optical structures and energy transfer in proteins. In this study, we present a new application of the (G'/G)-expansion method to special, coupled, discrete, nonlinear Schrödinger-type equations. This application is shown to be an effective tool for constructing solitary and periodic wave profiles with arbitrary parameters. In addition, we provide rational solutions that have not been explicitly computed before.