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Zehra Pinar

Other affiliations: Ege University
Bio: Zehra Pinar is an academic researcher from Namik Kemal University. The author has contributed to research in topics: Nonlinear system & Partial differential equation. The author has an hindex of 13, co-authored 44 publications receiving 497 citations. Previous affiliations of Zehra Pinar include Ege University.

Papers
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Journal ArticleDOI
TL;DR: An analytical solver which is known as a generalization of types methodologies is presented and one of the old but at the same time popular problem is considered, which isknown as nonlinear Zoomeron equation and its analytical solutions are tried to obtain.
Abstract: This paper presents an analytical solver which is known as a generalization of types methodologies. With the proposed method, one of the old but at the same time popular problem is considered, which is known as nonlinear Zoomeron equation, and its analytical solutions are tried to obtain. Moreover, the known solutions, many new analytical solutions are obtained via the proposed method. Plotting some simulations of the solutions, we can present a conclusion.

96 citations

Journal ArticleDOI
TL;DR: Two tuning algorithms for fractional-order internal model control (IMC) controllers for time delay processes based on two specific closed-loop control configurations, based on the IMC control structure and the Smith predictor structure are presented.
Abstract: This paper presents two tuning algorithms for fractional-order internal model control (IMC) controllers for time delay processes. The two tuning algorithms are based on two specific closed-loop control configurations: the IMC control structure and the Smith predictor structure. In the latter, the equivalency between IMC and Smith predictor control structures is used to tune a fractional-order IMC controller as the primary controller of the Smith predictor structure. Fractional-order IMC controllers are designed in both cases in order to enhance the closed-loop performance and robustness of classical integer order IMC controllers. The tuning procedures are exemplified for both single-input-single-output as well as multivariable processes, described by first-order and second-order transfer functions with time delays. Different numerical examples are provided, including a general multivariable time delay process. Integer order IMC controllers are designed in each case, as well as fractional-order IMC...

70 citations

Journal ArticleDOI
TL;DR: In this paper, the dual power law Schrodinger equation and the Kerr law were used to obtain optical soliton solutions via generalized logistic equation method, and the outcomes are useful in describing the diffusion of optical solitons.
Abstract: The Kerr law and dual power law Schrodinger equations for obtaining optical soliton solutions are studied. In this paper, we investigate these equations via generalized logistic equation method. These various kinds of solutions are favorable for explaining diverse nonlinear physical phenomena. The outcomes are useful in describing the diffusion of optical solitons.

61 citations

Journal ArticleDOI
TL;DR: This work uses the exp-function method in order to obtain conventional solitons and periodic solutions in nonlinear reaction-diffusion equations arising in mathematical biology.
Abstract: In this work we consider nonlinear reaction-diffusion equations arising in mathematical biology. We use the exp-function method in order to obtain conventional solitons and periodic solutions. The proposed scheme can be applied to a wide class of nonlinear equations.

52 citations

Journal ArticleDOI
TL;DR: In this paper, the exp-function method was used to obtain exact solutions for (1+1)-dimensional and (2+ 1)-dimensional Kaup-Kupershmidt (KK) equations.
Abstract: In this paper, using the exp-function method we obtain some new exact solutions for (1+1)-dimensional and (2+1)-dimensional Kaup–Kupershmidt (KK) equations. We show figures of some of the new solutions obtained here. We conclude that the exp-function method presents a wider applicability for handling nonlinear partial differential equations.

38 citations


Cited by
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Proceedings Article
14 Jul 1996
TL;DR: The striking signature of Bose condensation was the sudden appearance of a bimodal velocity distribution below the critical temperature of ~2µK.
Abstract: Bose-Einstein condensation (BEC) has been observed in a dilute gas of sodium atoms. A Bose-Einstein condensate consists of a macroscopic population of the ground state of the system, and is a coherent state of matter. In an ideal gas, this phase transition is purely quantum-statistical. The study of BEC in weakly interacting systems which can be controlled and observed with precision holds the promise of revealing new macroscopic quantum phenomena that can be understood from first principles.

3,530 citations

01 Aug 1962
TL;DR: In this article, the authors describe the first year of their first year in English language arts course, where they studied Calculus I, Chemistry I, and Expository Writing.
Abstract: First Year – Fall ......................... .............................................................................................. Credits MAT 210 ..................................... Calculus I ............................................................................. 4.0 ENG 110...................................... Expository Writing ............................................................. 3.0 CHE 210 ...................................... Chemistry I .......................................................................... 4.0 HUM 100 OR SOC 101 OR PSY 101 ........................................................................................ 6.0 Subtotal ...................................... .............................................................................................. 17

436 citations

Book ChapterDOI
31 Jan 1986

316 citations

Journal ArticleDOI
Li-Na Gao, Xue-Ying Zhao, Yao-Yao Zi, Jun Yu1, Xing Lü 
TL;DR: Applying the linear superposition principle to this new Hirota bilinear equation, it is found that there are two types of resonant multiple wave solutions, among which, the resonant three-wave solutions are illustrated with three-dimensional plots.
Abstract: For the exponential traveling wave solutions to the Hirota bilinear equations, a sufficient and necessary criterion for the existence of linear superposition principle has been given. Motivated by this criterion, we propose a new Hirota bilinear equation via using a multivariate polynomial. Applying the linear superposition principle to this new Hirota bilinear equation, we finally find two types of resonant multiple wave solutions, among which, the resonant three-wave solutions are illustrated with three-dimensional plots.

134 citations

Journal ArticleDOI
TL;DR: This article was published in the Journal of Applied Mathematics and the definite version is available at :http://dx.doi.org/10.1155/2012/575387 The Journal's website is at:https://www.hindawi.com/journals/jam/2012-575387.
Abstract: We construct new analytical solutions of the ( 3 + 1 )-dimensional modified KdV-Zakharov-Kuznetsev equation by the Exp-function method. Plentiful exact traveling wave solutions with arbitrary parameters are effectively obtained by the method. The obtained results show that the Exp-function method is effective and straightforward mathematical tool for searching analytical solutions with arbitrary parameters of higher-dimensional nonlinear partial differential equation.

127 citations