Aslan, İsmail

Profile URL
https://hdl.handle.net/11147/16586
Name Variants
Aslan, I
Aslan, Ismail
Aslan, İ.
Aslan, İ
Aslan, I.
Job Title
Email Address
ismailaslan@iyte.edu.tr
Main Affiliation
04.02. Department of Mathematics
Status
Current Staff
Website
ORCID ID
0000-0002-8861-9486
Scopus Author ID
25228346100
Turkish CoHE Profile ID
Google Scholar ID
ALdGw7IAAAAJ
WoS Researcher ID
BBD-9245-2021

Sustainable Development Goals

SDG data is not available
Documents

48

Citations

1028

h-index

20

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Scholarly Output

50

Articles

49

Views / Downloads

40340/23321

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

955

Scopus Citation Count

1054

Patents

0

Projects

0

WoS Citations per Publication

19.10

Scopus Citations per Publication

21.08

Open Access Source

49

Supervised Theses

0

JournalCount
Applied Mathematics and Computation13
Mathematical Methods in the Applied Sciences6
Communications in Theoretical Physics6
International Journal of Nonlinear Sciences and Numerical Simulation3
Physics Letters, Section A: General, Atomic and Solid State Physics2
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Filters

2008 - 200982010 - 201942

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Scholarly Output Search Results

Now showing 1 - 10 of 50
  • Article
    Citation - WoS: 16
    Citation - Scopus: 15
    Constructing Rational and Multi-Wave Solutions To Higher Order Nees Via the Exp-Function Method
    (John Wiley and Sons Inc., 2011) Aslan, İsmail
    In this paper, we present an application of some known generalizations of the Exp-function method to the fifth-order Burgers and to the seventh-order Korteweg de Vries equations for the first time. The two examples show that the Exp-function method can be an effective alternative tool for explicitly constructing rational and multi-wave solutions with arbitrary parameters to higher order nonlinear evolution equations. Being straightforward and concise, as pointed out previously, this procedure does not require the bilinear representation of the equation considered.
  • Article
    Citation - WoS: 41
    Citation - Scopus: 56
    Exact and Explicit Solutions To Some Nonlinear Evolution Equations by Utilizing the (g'/g)-expansion Method
    (Elsevier Ltd., 2009) Aslan, İsmail
    In this paper, we demonstrate the effectiveness of the so-called (G′/G)-expansion method by examining some nonlinear evolution equations with physical interest. Our work is motivated by the fact that the (G′/G)-expansion method provides not only more general forms of solutions but also periodic and solitary waves. If we set the parameters in the obtained wider set of solutions as special values, then some previously known solutions can be recovered. The method appears to be easier and faster by means of a symbolic computation system.
  • Article
    Citation - WoS: 34
    Citation - Scopus: 34
    Exact and Explicit Solutions To Nonlinear Evolution Equations Using the Division Theorem
    (Elsevier Ltd., 2011) Aslan, İsmail
    In this paper, we show the applicability of the first integral method, which is based on the ring theory of commutative algebra, to the regularized long-wave Burgers equation and the Gilson-Pickering equation under a parameter condition. Our method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are derived in a concise manner.
  • 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.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 21
    An Analytic Approach To a Class of Fractional Differential-Difference Equations of Rational Type Via Symbolic Computation
    (John Wiley and Sons Inc., 2015) Aslan, İsmail
    Fractional derivatives are powerful tools in solving the problems of science and engineering. In this paper, an analytical algorithm for solving fractional differential-difference equations in the sense of Jumarie's modified Riemann-Liouville derivative has been described and demonstrated. The algorithm has been tested against time-fractional differentialdifference equations of rational type via symbolic computation. Three examples are given to elucidate the solution procedure. Our analyses lead to closed form exact solutions in terms of hyperbolic, trigonometric, and rational functions, which might be subject to some adequate physical interpretations in the future. Copyright © 2013 JohnWiley & Sons, Ltd.
  • Article
    Citation - WoS: 77
    Citation - Scopus: 110
    Analytic Study on Two Nonlinear Evolution Equations by Using the (g'/g)-expansion Method
    (Elsevier Ltd., 2009) Aslan, İsmail; Öziş, Turgut
    The validity and reliability of the so-called (G′/G)-expansion method is tested by applying it to two nonlinear evolutionary equations. Solutions in more general forms are obtained. When the parameters are taken as special values, it is observed that the previously known solutions can be recovered. New rational function solutions are also presented. Being concise and less restrictive, the method can be applied to many nonlinear partial differential equations.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 9
    Multi-Wave and Rational Solutions for Nonlinear Evolution Equations
    (Walter de Gruyter GmbH, 2010) Aslan, İsmail
    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: 16
    Citation - Scopus: 16
    Comment On: "application of Exp-Function Method for (3+1 )-Dimensional Nonlinear Evolution Equations" [comput. Math. Appl. 56 (2008) 14511456]
    (Elsevier Ltd., 2011) Aslan, İsmail
    We show that Boz and Bekir [A. Boz, A. Bekir, Application of Exp-function method for (3+1)-dimensional nonlinear evolution equations, Comput. Math. Appl. 56 (2008) 14511456] obtained some incorrect solutions for the equations studied by means of the Exp-function method. We verify our assertion by direct substitution and pole order analysis. In addition, we provide the correct results using the same approach.
  • Article
    Citation - WoS: 15
    Citation - Scopus: 15
    Exact Solutions of a Fractional-Type Differential-Difference Equation Related To Discrete Mkdv Equation
    (IOP Publishing Ltd., 2014) Aslan, İsmail
    The extended simplest equation method is used to solve exactly a new differential-difference equation of fractional-type, proposed by Narita [J. Math. Anal. Appl. 381 (2011) 963] quite recently, related to the discrete MKdV equation. It is shown that the model supports three types of exact solutions with arbitrary parameters: hyperbolic, trigonometric and rational, which have not been reported before.
  • Article
    Citation - WoS: 17
    Citation - Scopus: 18
    The Ablowitz-Ladik Lattice System by Means of the Extended (g' / G)-Expansion Method
    (Elsevier Ltd., 2010) Aslan, İsmail
    We analyzed the Ablowitz-Ladik lattice system by using the extended (G′ / G)-expansion method. Further discrete soliton and periodic wave solutions with more arbitrary parameters are obtained. We observed that some previously known results can be recovered by assigning special values to the arbitrary parameters. © 2010 Elsevier Inc. All rights reserved.