Sürdürülebilir Kalkınma Amaçları
Yayınlar
- MakaleYalnız künye2016Scopus SJRQ1New acoustic wave behaviors to the Davey-Stewartson equation with power-law nonlinearity arising in fluid dynamics
Baskonus, Haci Mehmet
This manuscript investigates the new acoustic wave behaviors of the Davey-Stewartson equation with power-law nonlinearity with the help of sine-Gordon expansion method. This technique yields many new acoustic wave behaviors such as hyperbolic, exponential and complex function structures to the problem considered. Wolfram Mathematica 9 has been used throughout the paper for mathematical calculations along with obtaining two-and three-dimensional surfaces of results.
AtıfWoS142OpenAlex156
İncele - MakaleAçık Erişim2016Scopus SJRQ2Dark and new travelling wave solutions to the nonlinear evolution equation
Baskonus, Haci Mehmet; Koç, Dilara Altan; Bulut, Hasan
AtıfOpenAlex22İncele - MakaleAçık Erişim2016Scopus SJRQ2Prototype traveling wave solutions of new coupled Konno-Oono equation
Koçak, Zeynep Fidan; Bulut, Hasan; Koc, Dilara Altan; Baskonus, Haci Mehmet
- MakaleAçık Erişim2016Chaos in the Fractional Order Logistic Delay System: Circuit Realization and Synchronization
Baskonus, Haci Mehmet; Hammouch, Zakia; Mekkaoui, Toufik; Bulut, Hasan; Simos, T; Tsitouras, C
AtıfOpenAlex64İncele - MakaleAçık Erişim2016Scopus SJRQ1On the complex and hyperbolic structures of the longitudinal wave equation in a magneto-electro- elastic circular rod
Baskonus, Haci Mehmet; Bulut, Hasan; Atangana, Abdon
AtıfOpenAlex121İncele - BildiriYayıncıda açık erişim2016SOME characteristic properties of analytical method of magnetic control of ferroimpurities in various primary and technological media
Sandulyak, Anna A.; Sandulyak, Alexander V.; Bulut, Hasan; Baskonus, Haci Mehmet; Polismakova, Maria N.; Sandulyak, Darya A.; Mastorakis, N; Mladenov, V; Bulucea, A
The paper demonstrates that when defining the content of ferroimpurities in the analyzed media by magnetic control based on measuring the ferroimpurities masses m, which are extracted from the media sample step-by-step, it is crucial to define a functional view of the obtained dependence m on the operation order number n. It allows receiving additional forecast data m by extrapolating this dependence. With corresponding calculations being done, it enables determining the sought total mass of ferroimpurities (including their residual mass). We consider alternate solutions of practical tasks which yield magnetic control results in case of linear and piecewise-linear views (in semi-logarithmic coordinates) of the control mass-operational characteristics.
AtıfWoS1OpenAlex2İncele - MakaleAçık Erişim2016Scopus SJRQ2Exponential prototype structures for (2+1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics
Baskonus, Haci Mehmet; Bulut, Hasan
In this study, a new method called improved Bernoulli sub-equation function method has been proposed. This method is based on the Bernoulli sub-ODE method. After we mention the general properties of proposed method, we apply this algorithm to the (2+1)-dimensional Boiti-Leon-Pempinelli equation system. This gives us some new prototype solutions such as exponential and rational function solutions. Then, we have plotted two- and three-dimensional surfaces of analytical solutions. Finally, we have submitted a comprehensive conclusion.
AtıfWoS150OpenAlex151İncele - BildiriAçık Erişim2016Regarding on the Prototype Solutions for the Nonlinear Fractional-Order Biological Population Model
Baskonus, Haci Mehmet; Bulut, Hasan; Simos, T; Tsitouras, C
In this study, we have submitted to literature a method newly extended which is called as Improved Bernoulli sub-equation function method based on the Bernoulli Sub-ODE method. The proposed analytical scheme has been expressed with steps. We have obtained some new analytical solutions to the nonlinear fractional-order biological population model by using this technique. Two and three dimensional surfaces of analytical solutions have been drawn by wolfram Mathematica 9. Finally, a conclusion has been submitted by mentioning important acquisitions founded in this study.
AtıfWoS27OpenAlex40İncele - MakaleAçık Erişim2016Scopus SJRQ2New wave behaviors of the system of equations for the ion sound and Langmuir Waves
Baskonus, Haci Mehmet; Bulut, Hasan
This manuscript focuses on the new wave behaviors of the system of equations for the ion sound wave under the action of the ponderomotive force which results from a nonlinear force that a charged particle experiences in an inhomogeneous oscillating electromagnetic field due to high-frequency field. The sine-Gordon expansion method which is one of the powerful methods has been considered for finding traveling wave solutions of the system of equations for the ion sound wave under the pressure of the Langmuir wave. This algorithm yields new complex hyperbolic function solutions to the system considered in this paper. Wolfram Mathematica 9 has been successfully used throughout the paper for mathematical calculations.
AtıfWoS94OpenAlex99İncele - MakaleAçık Erişim2016Some novel exponential function structures to the Cahn-Allen equation
Bulut, Hasan; Atas, Sibel Sehriban; Baskonus, Haci Mehmet
In this manuscript, we consider the Bernoulli sub-equation function method for obtaining new exponential prototype structures to the Cahn-Allen mathematical model. We obtained new results using this technique. We plotted two- and three-dimensional surfaces of the results using Wolfram Mathematica 9. At the end of this manuscript, we submitted a conclusion in a comprehensive manner.
AtıfWoS34OpenAlex39İncele - MakaleAçık Erişim2016Scopus SJRQ2New solitary and optical wave structures to the Korteweg–de Vries equation with dual-power law nonlinearity
Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet
In this manuscript, we apply the powerful sine-Gordon expansion method to the Korteweg–de Vries (KdV) equation with dual-power law nonlinearity. The method is a combination of the travelling wave transformation and sine-Gordon equation. We find some new complex solitary and optical wave solution structures to the KdV equation with dual-power law nonlinearity. Wolfram Mathematica 9 is used in carrying out all the computations and the graphics plot in this paper. We have finally submit a comprehensive conclusion.
AtıfScopus63WoS61OpenAlex77
İncele - MakaleAçık Erişim2015Scopus SJRQ2Active Control of a Chaotic Fractional Order Economic System
Baskonus, Haci Mehmet; Mekkaoui, Toufik; Hammouch, Zakia; Bulut, Hasan
- MakaleAçık Erişim2015Scopus SJRQ2On the Complex and Hyperbolic Structures for the (2+1)-Dimensional Boussinesq Water Equation
Özpinar, Figen; Baskonus, Haci Mehmet; Bulut, Hasan
AtıfOpenAlex51İncele - MakaleAçık Erişim2015Scopus SJRQ2On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method
Baskonus, Haci Mehmet; Bulut, Hasan
In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations. Then, we construct a table including numerical results for both fractional differential equations. Then, we draw two dimensional surfaces of numerical solutions and analytical solutions by considering the suitable values of parameters. Finally, we use the L-2 nodal norm and L-infinity maximum nodal norm to evaluate the accuracy of method used in this paper.
AtıfWoS129OpenAlex164İncele - MakaleYayıncıda açık erişim2015ON SOME NEW ANALYTICAL SOLUTIONS FOR THE (2+1)-DIMENSIONAL BURGERS EQUATION AND THE SPECIAL TYPE OF DODD-BULLOUGH-MIKHAILOV EQUATION
Baskonus, Haci Mehmet; Bulut, Hasan
Some new travelling wave transform methods are very important for obtaining analytical solutions of special type of nonlinear partial differential equations (NLPDEs). Some of these solutions of NLPDEs may be in the different forms such as rational function solutions, trigonometric function solutions, hyperbolic function solutions, exponential function solutions and Jacobi elliptic function solutions. These forms tell us the various properties of the NLPDEs from scientifical applications to engineering. In this research, we have studied to obtain the analytical solution of the nonlinear (2+1)-dimensional Burgers equation which is named from Johannes Martinus Burgers and the nonlinear special type of the Dodd-Bullough-Mikhailov equation introduced to the literature by Roger Dodd, Robin Bullough, and Alexander Mikhailov.
AtıfWoS20İncele - Kitap BölümüYalnız künye2015Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method
Baskonus, Haci Mehmet; Belgacem, Fethi Bin Muhammad; Bulut, Hasan; Cattani, C; Srivastava, HM; Yang, XJ
In this book chapter, the Variational Iteration Method is used to solve systems of nonlinear fractional differential equations. Implementations with two separate nonlinear fractional differential equations systems illustrate a high degree of effectiveness. In the absence of explicit analytical methods, the Variational Iterative Method turns out to be a powerful tool to understand the behavior of nonlinear fractional differential equations and systems. Numerical solutions plots are obtained for each system via the Mathematica Symbolic Algebra Software 9.
AtıfWoS6İncele - MakaleAçık Erişim2015Scopus SJRQ2New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics
Baskonus, Haci Mehmet; Bulut, Hasan
In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin-Bona-Mahony equation and the (2 + 1)-dimensional cubic Klein-Gordon equation by using the generalized Kudryashov method. After we submitted the general properties of the generalized Kudryashov method in Section 2, we applied this method to these problems to obtain some new analytical solutions, such as rational function solutions, exponential function solutions and hyperbolic function solutions in Section 3. Afterwards, we draw two- and three-dimensional surfaces of analytical solutions by using Wolfram Mathematica 9.
AtıfWoS23OpenAlex33İncele - MakaleAçık Erişim2015Scopus SJRQ1Analytical studies on the (1+1)-dimensional nonlinear Dispersive Modified Benjamin-Bona-Mahony equation defined by seismic sea waves
Baskonus, Haci Mehmet; Bulut, Hasan
In this study, we have studied to obtain some new analytical solutions to the (1+1)-dimensional nonlinear Dispersive Modified Benjamin-Bona-Mahony equation by using modified exp-function method. We have submitted the general structure of modified exp-function method. We have founded some new analytical solutions such as hyperbolic and rational function solutions. Afterward, we have plotted 2D and 3D surfaces of analytical solutions obtained in this study by using computer programming wolfram Mathematica 9.
AtıfWoS39OpenAlex44İncele - MakaleAçık Erişim2015Scopus SJRQ1On the complex structures of Kundu-Eckhaus equation via improved Bernoulli sub-equation function method
Baskonus, Haci Mehmet; Bulut, Hasan
In this study, we obtain some new complex analytical solutions to the Kundu-Eckhaus equation which seems in the quantum field theory, weakly nonlinear dispersive water waves and nonlinear optics using improved Bernoulli sub-equation function method. After we have mentioned the general structure of improved Bernoulli sub-equation function method, we have successfully applied this method and then obtained some new complex hyperbolic and complex trigonometric function solutions. Two- and three-dimensional surfaces of analytical solutions have been plotted via wolfram Mathematica 9 version. At the end of this article, a conclusion has been submitted by mentioning important points founded in this study.
AtıfWoS89OpenAlex108İncele - MakaleAçık Erişim2015Scopus SJRQ2An Effective Schema for Solving Some Nonlinear Partial Differential Equation Arising In Nonlinear Physics
Baskonus, Haci Mehmet; Bulut, Hasan
In this paper, a new computational algorithm called the Improved Bernoulli sub-equation function method has been proposed. This algorithm is based on the Bernoulli Sub-ODE method. Firstly, the nonlinear evaluation equations used for representing various physical phenomena are converted into ordinary differential equations by using various wave transformations. In this way, nonlinearity is preserved and represent nonlinear physical problems. The nonlinearity of physical problems together with the derivations is seen as the secret key to solve the general structure of problems. The proposed analytical schema, which is newly submitted to the literature, has been expressed comprehensively in this paper. The analytical solutions, application results, and comparisons are presented by plotting the two and three dimensional surfaces of analytical solutions obtained by using the methods proposed for some important nonlinear physical problems. Finally, a conclusion has been presented by mentioning the important discoveries in this study.
AtıfWoS16İncele