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On some new travelling wave structures to the(3+1)-dimensional Boiti-Leon-Manna-Pempinelli model

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Journal of Ocean Engineering and Science 2024年第2期9卷 99-111页

作者： Kalim u.Tariq Ahmet bekir Muhammad Zubair Department of Mathematics Mirpur University of Science and TechnologyMirpur 10250 AJKPakistan Neighbourhood of Akcaglan Imarli StreetNumber:28/4Eskisehir26030 Turkey

In this article,the(1/G')-expansion method,the Bernoulli sub-ordinary differential equation method and the modified Kudryashov method are implemented to construct a variety of novel analytical solutions to the(3+1)-dimensional Boiti-Leon-Manna-Pempinelli model representing the wave propagation through incompressible *** linearization of the wave structure in shallow water necessitates more critical wave capacity conditions than it does in deep water,and the strong nonlinear properties are *** novel travelling wave solutions have been observed including solitons,kink,periodic and rational solutions with the aid of the latest computing tools such as Mathematica or *** physical and analytical properties of several families of closed-form solutions or exact solutions and rational form function solutions to the(3+1)-dimensional Boiti-Leon-Manna-Pempinelli model problem are examined using Mathematica.

关键词： The(3+1)-dimensional Boiti-Leon-Manna-Pempinelli model The(1/G')-expansion method The Bernoulli sub-ODE method The modified Kudryashov method

Stability analysis and soliton solutions of the(1+1)-dimensional nonlinear chiral Schr?dinger equation in nuclear physics

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Communications in Theoretical Physics 2024年第9期76卷 1-15页

作者： Fazal Badshah Kalim u Tariq Ahmet bekir S M Raza Kazmi Emad Az-Zo'bi School of Electrical and Information Engineering Hubei University of Automotive Technology Department of Mathematics Mirpur University of Science and Technology Neighbourhood of Akcaglan Department of Mathematics and Statistics Faculty of Science Mutah University

The nonlinear Schr?dinger equation equation is one of the most important physical models used in optical fiber theory to explain the transmission of an optical soliton. The field of chiral soliton propagation in nuclear physics is very interesting because of its numerous applications in communications and ultra-fast signal routing systems. The (1+1)-dimensional chiral dynamical structure that describes the soliton behaviour in data transmission is dealt with in this work using a variety of in-depth analytical techniques. This work has applications in particle physics, ionised science, nuclear physics, optics, and other applied mathematical sciences. We are able to develop a variety of solutions to demonstrate the behaviour of solitary wave structures, periodic soliton solutions, chiral soliton solutions, and bell-shaped soliton solutions with the use of applied techniques. Moreover, in order to verify the scientific calculations, the stability analysis for the observed solutions of the governing model is taken into consideration. In addition, the3-dimensional, contour, and 2-dimensional visuals are supplied for a better understanding of the behaviour of the solutions. The employed strategies are dependable, uncomplicated, and effective; yet have not been utilised with the governing model in the literature that is now accessible. The resulting outcomes have impressive applications across a large number of study areas and computational physics phenomena representing real-world scenarios. The methods applied in this model are not utilized on the given models in previous literature so we can say that these describe the novelty of the work.

关键词： chiral solitons exact solutions solitons stability analysis the nonlinear Schrödinger equation

Effect of Porosity on the Mechanical Properties and Wear Performance of 2% Copper Reinforced Sintered Steel used in Shock Absorber Piston Production

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Journal of Materials Science & Technology 2009年第5期25卷 577-582页

作者： bekir Yalin Technical Education Faculty Suleyman Demirel University

Powder metallurgy （P/M） method has mainly been used to produce automobile parts such as self-lubrication beds, shock absorber parts, and gear wheels. In order to investigate the effect of porosity on the mechanical and tribological properties in sintered steel, specimens with 10%, 15%, and 20% porosity were produced in a 10 mm×10 mm×55 mm prismatic shape by pre-alloying powders of the MPIF Fe-C-0.205 alloy used in the production of shock absorber pistons. Sintering was carried out at 900℃ for 45 min in an argon atmosphere. Tensile, charpy, and microhardness tests were performed on these specimens. In addition, the wear performance of a 2% Cu reinforced sintered steel alloy under dry sliding conditions was determined. Metallographic studies such as pore formation, worn surface, and fractured surface analyses were performed by scanning electron microscopy and optical microscopy. The results indicate that irregular pore formation tendencies increase with an increase in porosity （%）. Furthermore, an increase in porosity was shown to decrease the mechanical properties and increase the wear trace area and the friction coefficient of sintered steel.

关键词： Shock absorber piston Powder metallurgy Porosity Friction coefficient

Evaluation of new Austrian tunnelling method applied to Bolu tunnel’s weak rocks

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Journal of Rock Mechanics and Geotechnical Engineering 2020年第3期12卷 541-556页

作者： Ebu bekir Aygar Fugro Sial Geosciences Consulting and Engineering Ltd. Cankaya06690AnkaraTurkey

Since the development of the new Austrian tunnelling method(NATM)in the 1960s,this technique has been applied successfully in many ***,opinions of NATM principles emerged till 2000,*** is not a tunnelling method,but an approach covering all general principles of *** investigate the general principles of the NATM,this study focused on tunnelling practises in the Bolu tunnel,and evaluated the conditions under which the NATM practises could be *** Bolu tunnel project was designed following the NATM *** is evident that practises adopted in this tunnel are important with respect to the *** addition,it shows that the solutions to the problems encountered in this tunnel are consistent with the NATM ***,the study determines the ground types of the NATM principles and proposes associated updates.

关键词： Bolu tunnel New Austrian tunnelling method(NATM) Support types

Evaluation of line brattice length in an empty heading to improve air flow rate at the face using CFD

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International Journal of Mining Science and Technology 2017年第2期27卷 253-259页

作者： Feroze Tariq Genc bekir School of Mining Engineering University of the WitwatersrandJohannesburg 2050South Africa

The effectiveness of line brattice(LB) ventilation system depends on the associated system ***, the effect of these variables on the air flow rates close to the face of the heading is not extensively studied. In this paper, the effect of the LB length in relation to the LB-wall distance on the air flow rate reaching the face is analysed. Scenarios were developed using four LB lengths, two LB-wall distances and two heading depths. These scenarios were simulated with a validated CFD model. The air flow rates and patterns at various locations inside the heading were analysed. This helped to find the minimum LB-face distance that should be maintained for each LB-wall distance to maximise the air flow rate at the face. The minimum length when used will improve ventilation and reduce energy cost.

关键词： Coal mine ventilation Auxiliary ventilation Line brattice ventilation system Computational fluid dynamics

Bright and dark soliton solutions for some nonlinear fractional differential equations

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Chinese Physics B 2016年第3期25卷 52-59页

作者： Ozkan Guner Ahmet bekir Cankiri Karatekin university Faculty of Economics and Administrative Sciences Department of International Trade CankiriTurkey Eskisehir Osmangazi university Art-Science Faculty Department of Mathematics-Computer Eskisehir Turkey

In this work, we propose a new approach, namely ansatz method, for solving fractional differential equations based on a fractional complex transform and apply it to the nonlinear partial space-time fractional modified Benjamin-Bona- Mahoney （mBBM） equation, the time fractional mKdV equation and the nonlinear fractional Zoomeron equation which gives rise to some new exact solutions. The physical parameters in the soliton solutions： amplitude, inverse width, free parameters and velocity are obtained as functions of the dependent model coefficients. This method is suitable and more powerful for solving other kinds of nonlinear fractional PDEs arising in mathematical physics. Since the fractional deriva- tives are described in the modified Riemann-Liouville sense.

关键词： exact solutions ansatz method space-time fractional modified Benjamin-Bona-Mahoney equa-tion time fractional mKdV equation

Computer-Based Modelling of Network Functions for Linear Dynamic Circuits using Modified Nodal Approach

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Computer Modeling in Engineering & Sciences 2017年第3期113卷 261-274页

作者： Ali bekir YILDIZ Engineering Faculty Department of Electrical EngineeringKocaeli UniversityTurkey

In this paper,a computer-based systematic and efficient formulation method is presented for obtaining the network functions of linear or linearized time-invariant dynamic *** method employs the modified nodal approach to obtain the system *** technique is based on developing a matrix formulation for modelling network *** using both symbolic manipulation of algebraic expressions and numeric processes,the network functions are expressed with a matrix-based *** examples are given to illustrate the features of the method.

关键词： Network functions modified nodal approach modelling.

Applications of the first integral method to nonlinear evolution equations

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Chinese Physics B 2010年第8期19卷 24-27页

作者： Filiz Tascan Ahmet bekir Eskisehir Osmangazi university Art-Science FacultyDepartment of MathematicsEskisehir-TüRKIYE

In this paper, we establish travelling wave solutions for some nonlinear evolution equations. The first integral method is used to construct the travelling wave solutions of the modified Benjamin-Bona-Mahony and the coupled Klein-Gordon equations. The obtained results include periodic and solitary wave solutions. The first integral method presents a wider applicability to handling nonlinear wave equations.

关键词： travelling wave solutions first integral method modified Benjamin-Bona-Mahony equa- tion coupled Klein-Gordon equation

Nonlinear dynamical wave structures of Zoomeron equation for population models

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Chinese Physics B 2022年第6期31卷 235-240页

作者： Ahmet bekir Emad H M Zahran Neighbourhood of Akcaglan Imarli StreetNumber:28/426030EskisehirTurkey Departments of Mathematical and Physical Engineering Benha UniversityFaculty of EngineeringShubraEgypt

The nonlinear dynamical exact wave solutions to the non-fractional order and the time-fractional order of the biological population models are achieved for the first time in the framwork of the Paul-Painlevéapproach method(PPAM).When the variables appearing in the exact solutions take specific values,the solitary wave solutions will be easily *** realized results prove the efficiency of this technique.

关键词： (2+1)-dimensional non-fractional Zoomeron equation time-fractional biological population model Paul-Painlevéapproach method traveling wave solutions