Browsing Mathematics / Matematik by Author "Aslan, İsmail"
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The AblowitzLadik lattice system by means of the extended (G′ / G)expansion method
Aslan, İsmail (Elsevier, 201007)We analyzed the AblowitzLadik 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 ... 
An analytic approach to a class of fractional differentialdifference equations of rational type via symbolic computation
Aslan, İsmail (Wiley, 201501)Fractional derivatives are powerful tools in solving the problems of science and engineering. In this paper, an analytical algorithm for solving fractional differentialdifference equations in the sense of Jumarie's modified ... 
Analytic investigation of a reactionDiffusion brusselator model with the timespace fractional derivative
Aslan, İsmail (De Gruyter, 201404)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 ... 
Analytic investigation of the (2 + 1)dimensional Schwarzian Korteweg–de Vries equation for traveling wave solutions
Aslan, İsmail (Elsevier BV., 20110215)By means of the two distinct methods, the Expfunction method and the extended (G0/G)expansion method, we successfully performed an analytic study on the (2 + 1)dimensional Schwarzian Korteweg–de Vries equation. We ... 
Analytic solutions to nonlinear differentialdifference equations by means of the extended (G′/G)expansion method
Aslan, İsmail (IOP Publishing, 201010)In this paper, a discrete extension of the (G′/G)expansion method is applied to a relativistic Toda lattice system and a discrete nonlinear Schrödinger equation in order to obtain discrete traveling wave solutions. Closed ... 
Analytic study on two nonlinear evolution equations by using the (G′/G)expansion method
Aslan, İsmail; Öziş, Turgut (Elsevier, 200903)The validity and reliability of the socalled (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 ... 
Application of the division theorem to nonlinear physical models for constructing traveling waves
Aslan, İsmail (Politechnica University of Bucharest, 2013)We extend the socalled first integral method, which is based on the division theorem, to the SharmaTassoOlver equation and the (2+1)dimensional modified Boussinesq equation. Our approach provides first integrals in ... 
Application of the expfunction method to nonlinear lattice differential equations for multiwave and rational solutions
Aslan, İsmail (Wiley, 201109)In this paper, we extend the basic Expfunction method to nonlinear lattice differential equations for constructing multiwave and rational solutions for the first time. We consider a differentialdifference analogue of ... 
Application of the Expfunction method to the (2+1)dimensional BoitiLeonPempinelli equation using symbolic computation
Aslan, İsmail (Taylor & Francis, 201103)Locate fulltext(opens in a new window)Full Text(opens in a new window)View at Publisher Export  Download  Add to List  More... International Journal of Computer Mathematics Volume 88, Issue 4, March 2011, ... 
Application of the G′ / Gexpansion method to Kawahara type equations using symbolic computation
Öziş, Turgut; Aslan, İsmail (Elsevier, 201006)In this paper, Kawahara type equations are selected to illustrate the effectiveness and simplicity of the G′ / Gexpansion method. With the aid of a symbolic computation system, three types of more general traveling wave ... 
Comment on: "Application of Expfunction method for (3+1 )dimensional nonlinear evolution equations" [Comput. Math. Appl. 56 (2008) 14511456]
Aslan, İsmail (Elsevier, 201103)We show that Boz and Bekir [A. Boz, A. Bekir, Application of Expfunction method for (3+1)dimensional nonlinear evolution equations, Comput. Math. Appl. 56 (2008) 14511456] obtained some incorrect solutions for the equations ... 
Comment on: "New exact solutions for the Kawahara equation using Expfunction method" [J. Comput. Appl. Math. 233 (2009) 97102]
Aslan, İsmail (Elsevier, 201010)Assas [Laila M.B. Assas, New exact solutions for the Kawahara equation using Expfunction method, J. Comput. Appl. Math. 233 (2009) 97102] found some supposedly new exact solutions to the Kawahara equation by means of the ... 
Comment on: The (G'/G)expansion method for the nonlinear lattice equations [Commun Nonlinear Sci Numer Simulat 17 (2012) 34903498]
Aslan, İsmail (Elsevier, 201212)We show that two of the nonlinear lattice equations studied by Ayhan & Bekir [Commun Nonlinear Sci Numer Simulat 17 (2012) 34903498] have already been investigated by Aslan [Commun Nonlinear Sci Numer Simulat 15 (2010) ... 
Constructing rational and multiwave solutions to higher order NEEs via the Expfunction method
Aslan, İsmail (Wiley, 201105)In this paper, we present an application of some known generalizations of the Expfunction method to the fifthorder Burgers and to the seventhorder Korteweg de Vries equations for the first time. The two examples show ... 
Construction of exact solutions for fractionaltype differencedifferential equations via symbolic computation
Aslan, İsmail (Elsevier, 201311)This paper deals with fractionaltype differencedifferential equations by means of the extended simplest equation method. First, an equation related to the discrete KdV equation is considered. Second, a system related to ... 
The discrete (G′/G)expansion method applied to the differentialdifference Burgers equation and the relativistic Toda lattice system
Aslan, İsmail (Wiley, 201201)We introduce the discrete (G′/G)expansion method for solving nonlinear differentialdifference equations (NDDEs). As illustrative examples, we consider the differentialdifference Burgers equation and the relativistic ... 
Discrete exact solutions to some nonlinear differentialdifference equations via the (G′/G)expansion method
Aslan, İsmail (Elsevier, 200912)We extended the (G′/G)expansion method to two wellknown nonlinear differentialdifference equations, the discrete nonlinear Schrödinger equation and the Toda lattice equation, for constructing traveling wave solutions. ... 
A discrete generalization of the extended simplest equation method
Aslan, İsmail (Elsevier, 201008)We modified the socalled extended simplest equation method to obtain discrete traveling wave solutions for nonlinear differentialdifference equations. The Wadati lattice equation is chosen to illustrate the method in ... 
Exact and explicit solutions to nonlinear evolution equations using the division theorem
Aslan, İsmail (Elsevier, 201106)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 longwave Burgers equation and the GilsonPickering equation under a ... 
Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G′/G)expansion method
Aslan, İsmail (Elsevier, 200909)In this paper, we demonstrate the effectiveness of the socalled (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 ...