ORCID "0000-0002-9344-7308" Fakülteler için listeleme
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Analytical study on the balancing principle for the nonlinear Klein?Gordon equation with a fractional power potential
Pınar, Zehra (Elsevier, 2020)[No Abstract Available] -
Classical symmetry analysis and exact solutions for generalized Korteweg-de Vries models with variable coefficients
Pınar, Zehra; Öziş, Turgut (Pergamon-Elsevier Science Ltd, 2018)In this paper, by using the classical symmetry analysis method symmetries for the generalized variable-coefficient Korteweg-de Vries model are obtained. Then, the reduced nonlinear ordinary differential equations with ... -
Exact solutions for the third-order dispersive-Fisher equations
Pınar, Zehra; Koçak, Hüseyin (Springer, 2018)In this study, we reveal the exact solutions of the third-order semilinear and nonlinear dispersive equations containing Fisher-like nonlinearity, i.e. dispersion-reaction models, which can be used in physical and engineering ... -
An Improved Analytical Solution of Population Balance Equation Involving Aggregation and Breakage via Fibonacci and Lucas Approximation Method
Pınar, Zehra; Dutta, Abhishek; Kassemi, Mohammed; Öziş, Turgut (Walter De Gruyter Gmbh, 2019)This study presents a novel analytical solution for the Population Balance Equation (PBE) involving particulate aggregation and breakage by making use of the appropriate solution(s) of the associated complementary equation ... -
Modified Multi-Frequency Homotopy Analysis Method for Evolution Equations
Pınar, Zehra (Amer Inst Physics, 2017)A new modification of homotopy analysis method (HAM) is considered for nonlinear evaluation equations. The auxiliary differential operator is chosen respect to the order of nonlinearity of the equation. Asymmetric and ... -
The New Soliton Solutions via Modified Hereman's Simplified Method
Pınar, Zehra (Amer Inst Physics, 2017)It is well recognized that new types of exact travelling wave solutions to nonlinear partial differential equations can be obtained modifications of the methods which are in hand. In this study, the new ansatz which was ... -
A Note for Finding Exact Solutions of Some Nonlinear Differential Equations
Pınar, Zehra; Öziş, Turgut (Yildiz Technical Univ, 2018)In this note, we show that a particular solution of Bernoulli equation is also the solutions of various second and high order nonlinear ordinary differential equations. The differential equations having solution as a ... -
Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique
Gao, Wei; Rezazadeh, Hadi; Pınar, Zehra; Baskonus, Haci Mehmet; Sarwar, Shahzad; Yel, Gülnur (Springer, 2020)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 ... -
Observations on the class of Balancing Principle for nonlinear PDEs that can be treated by the auxiliary equation method
Pınar, Zehra; Öziş, Turgut (Pergamon-Elsevier Science Ltd, 2015)There is collection of methods for finding explicit travelling wave solutions of nonlinear partial differential equations (NLPDEs) in the literature. Quite a large amount of these methods employ Balancing Principle in their ... -
On solutions of the fifth-order dispersive equations with porous medium type non-linearity
Koçak, Hüseyin; Pınar, Zehra (Taylor & Francis Ltd, 2018)In this work, we focus on obtaining the exact solutions of the fifth-order semi-linear and non-linear dispersive partial differential equations, which have the second-order diffusion-like (porous-type) non-linearity. The ... -
Population Balances Involving Aggregation and Breakage Through Homotopy Approaches
Dutta, Abhishek; Pınar, Zehra; Constales, Denis; Öziş, Turgut (Walter De Gruyter Gmbh, 2018)Homotopy techniques in nonlinear problems are getting increasingly popular in engineering practice. The main reason is because the homotopy method deforms continuously a difficult problem under study into a simple problem, ... -
Solution Behaviors in Coupled Schrodinger Equations with Full-Modulated Nonlinearities
Pınar, Zehra; Deliktaş, Ekin (Amer Inst Physics, 2017)The nonlinear partial differential equations have an important role in real life problems. To obtain the exact solutions of the nonlinear partial differential equations, a number of approximate methods are known in the ... -
Tuning algorithms for fractional order internal model controllers for time delay processes
Muresan, Cristina I.; Dutta, Abhishek; Dulf, Eva H.; Pınar, Zehra; Maxim, Anca; Ionescu, Clara M. (Taylor & Francis Ltd, 2016)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 ...