Sürdürülebilir Kalkınma Amaçları
Yayınlar
- MakaleYalnız künye2018Scopus SJRQ2New results on nondensely characterized integrodifferential equations with fractional order
Ravichandran, C.; Jothimani, K.; Baskonus, Haci Mehmet; Valliammal, N.
This study reports a novel approach which deals with the coupled classes of fractional integrodifferential equations for nondensely characterized linear operators in the Banach space. Using the noncompact measure theory, we investigate the existence of the results presented.
AtıfScopus69WoS65OpenAlex77
İncele - MakaleAçık Erişim2018Scopus SJRQ2Dark, bright optical and other solitons with conformable space-time fractional second-order spatiotemporal dispersion
Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet
This paper constructs dark, bright, combined dark-bright, singular, combined singular soliton optical and singular periodic solutions to the conformable space-time fractional second order nonlinear Schrödinger equation with group velocity dispersion coefficient and spatiotemporal dispersion by using the extended sinh-Gordon equation expansion method. The constraint conditions for the existence of valid soliton solutions are given. The reported results in this study may be helpful in explaining the physical meaning of the studied model.
AtıfScopus51WoS49OpenAlex53İncele - MakaleAçık Erişim2018Scopus SJRQ2On the bright and singular optical solitons to the (2 + 1)-dimensional NLS and the Hirota equations
Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Aktürk, Tolga
This study constructs bright and singular optical solitons the (2 + 1)-dimensional NLSE and the Hirota equation by utilizing the new sine-Gordon expansion method. The parametric conditions for the existence of valid solitons are given. We give the variations of solitary and periodic wave solutions that depend on the parameters. We present the 2D, 3D and contour graphs to represent the kind of solutions secured in this study.
AtıfScopus40OpenAlex41İncele - MakaleAçık Erişim2018Scopus SJRQ2Complex acoustic gravity wave behaviors to some mathematical models arising in fluid dynamics and nonlinear dispersive media
Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Akturk, Tolga
This study acquires the wave solutions of the two well-known nonlinear models, namely; the modified Benjamin–Bona–Mahony and the coupled Klein–Gordon equations. The modified Benjamin–Bona–Mahony is a nonlinear model that describes the long surface gravity waves of small amplitude and the coupled Klein–Gordon equation describes the quantized version of the relativistic energy–momentum relation. We successfully acquire some new solutions to these models such as kink-type and soliton solutions in complex hyperbolic functions form. We plot the 3D and 2D surface of the all the obtained solutions in this study. The mathematical approach used in this study is the sine-Gordon expansion method.
AtıfScopus33OpenAlex40İncele - MakaleAçık Erişim2018Scopus SJRQ2Investigations of dark, bright, combined dark-bright optical and other soliton solutions in the complex cubic nonlinear Schrödinger equation with δ-potential
Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan; Aktürk, Tolga
In this study, using the extended sinh-Gordon equation expansion method, we construct the dark, bright, combined dark-bright optical, singular, combined singular solitons and singular periodic waves solutions to the complex cubic nonlinear Schrödinger equation with δ-potential. The conditions for the existence of the obtained solutions are given. To present the physical feature of the acquired result, the 2D and 3D graphs are plotted under the choice of suitable values of the parameters.
AtıfScopus73OpenAlex76İncele - BildiriYalnız künye2017New Complex and Hyperbolic Function Solutions to the Generalized Double Combined Sinh-Cosh-Gordon Equation
Baskonus, Haci Mehmet; Sivasundaram, S
In this study, we have applied the improved Bernoulli sub-equation function method to the generalized double combined Sinh-Cosh-Gordon equation. This method gives new analytical solutions such as complex and hyperbolic function solutions to the problem considered in this paper. Then, we plot the three and two dimensional surfaces of analytical solutions by using Wolfram Mathematica
AtıfWoS42OpenAlex48İncele - MakaleAçık Erişim2017Novel Behaviors to the Nonlinear Evolution Equation Describing the Dynamics of Ionic Currents along Microtubules
Baskonus, Haci Mehmet; Erdogan, Fevzi; Ozkul, Arif; Asmouh, Itham; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T; Belgacem, FB
AtıfOpenAlex6İncele - MakaleAçık Erişim2017Scopus SJRQ2Analytical solutions for nonlinear long-short wave interaction systems with highly complex structure
Baskonus, Haci Mehmet; Bulut, Hasan; Belgacem, Fethi Bin Muhammad
AtıfOpenAlex37İncele - BildiriAçık Erişim2017Numerical simulations to the nonlinear model of interpersonal Relationships with time fractional derivative
Gencoglu, Muharrem Tuncay; Baskonus, Haci Mehmet; Bulut, Hasan; Sivasundaram, S
The main aim of this manuscript is to obtain numerical solutions for the nonlinear model of interpersonal relationships with time fractional derivative. The variational iteration method is theoretically implemented and numerically conducted only to yield the desired solutions. Numerical simulations of desired solutions are plotted by using Wolfram Mathematica 9.
AtıfWoS30OpenAlex47İncele - BildiriAçık Erişim2017Continuous ultrasonic thickness measurement technology
Pronin, Vitaliy; Shkatov, Petr; Sandulyak, Anna; Baskonus, Haci Mehmet; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T; Belgacem, FB
The article describes the technologies and means of ultrasonic thickness measurement for pipeline base metal and welded joints using phased array antennas with linear scanning by TOFD and DAF methods. According to the thickness measurement data provided through specialized software, maps are obtained of the control objects thickness. The measurement results are given using these technologies, as well as the prospects for these methods development.
AtıfOpenAlex2İncele - MakaleAçık Erişim2017Scopus SJRQ2Novel hyperbolic behaviors to some important models arising in quantum science
Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet; Yazgan, Tugba
In this study, with the help of Wolfram Mathematica 9 software, the powerful sine-Gordon expansion method is used in constructing new hyperbolic function solutions to the two well known nonlinear differential equations that arise in the field of nonlinear sciences, namely; the modified Zakharov–Kuznetsov and the (2+1)-dimensional cubic Klein–Gordon equations. We also plot the two- and three-dimensional graphics of all the obtained solutions in this paper by utilizing the same program in the Wolfram Mathematica 9 software.
AtıfScopus17WoS18OpenAlex19İncele - MakaleAçık Erişim2017Scopus SJRQ3New solitary wave solutions to the (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff and the Kadomtsev–Petviashvili hierarchy equations
Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan
In this paper, with the help of Wolfram Mathematica 9 we employ the powerful sine-Gordon expansion method in investigating the solution structures of the two well known nonlinear evolution equations, namely; Calogero–Bogoyavlenskii–Schiff and Kadomtsev–Petviashvili hierarchy equations. We obtain new solutions with complex, hyperbolic and trigonometric function structures. All the obtained solutions in this paper verified their corresponding equations. We also plot the three- and two-dimensional graphics of all the obtained solutions in this paper by using the same program in Wolfram Mathematica 9. We finally submit a comprehensive conclusion.
AtıfScopus42WoS44OpenAlex56İncele - MakaleAçık Erişim2017Scopus SJRQ2New solitary and optical wave structures to the (1 + 1)-dimensional combined KdV–mKdV equation
Bulut, Hasan; Sulaiman, Tukur A.; Baskonus, Haci Mehmet; Sandulyak, Anna A.
In this article, we employ the sine-Gordon expansion method to construct a new solitary and optical wave structures to the (1 + 1)-dimensional combined KdV–mKdV equation. Sine-Gordon expansion method is developed based on the travelling wave transformation u(x, y) = U(ξ), ξ = μ(x − ct) and the sine-Gordon equation uxx − utt = m2 sin(u). We find the travelling wave solutions to (1 + 1)-dimensional combined KdV–mKdV equation in the form of complex, hyperbolic, trigonometric and rational function. Our results show that all the travelling wave solutions we obtain are solitary and optical wave structures solutions. All the computations and graphics plot in this article are carried out with the help of Wolfram Mathematica 9.
AtıfScopus44OpenAlex53İncele - MakaleYalnız künye2017Scopus SJRQ2Novel archetypes of new coupled Konno–Oono equation by using sine–Gordon expansion method
Yel, Gülnur; Baskonus, Haci Mehmet; Bulut, Hasan
In this manuscript, we investigate the analytical solutions of the new coupled Konno–Oono equation by using the sine–Gordon expansion method. We successfully obtained some new soliton solutions to this model. We plot the 2D and 3D surfaces of all the found soliton solutions in this study. The Wolfram Mathematica 9 is used in performing all the computations in this study.
AtıfScopus99WoS93İncele - MakaleAçık Erişim2017Scopus SJRQ2On the new soliton and optical wave structures to some nonlinear evolution equations
Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Baskonus, Haci Mehmet
In this study, with the aid of the Wolfram Mathematica software, the powerful sine-Gordon expansion method is utilized to search for the solutions to some important nonlinear mathematical models arising in nonlinear sciences, namely, the (2 + 1) -dimensional Zakharov-Kuznetsov modified equal width equation, the cubic Boussinesq equation and the modified regularized long wave equation. We successfully obtain some new soliton, singular soliton, singular periodic waves and kink-type solutions with complex hyperbolic structures to these equations. We also present the two- and three-dimensional shapes of all the solutions obtained in this study. We further give the physical meaning of all the obtained solutions. We compare our results with the existing results in the literature.
AtıfScopus54WoS51OpenAlex53İncele - MakaleAçık Erişim2017Scopus SJRQ2On the novel wave behaviors to the coupled nonlinear Maccari's system with complex structure
Baskonus, Haci Mehmet; Sulaiman, Tukur Abdulkadir; Bulut, Hasan
In this paper, we seek for the new soliton solutions to the coupled nonlinear Maccari's system by using sine-Gordon expansion method. Sine-Gordon expansion method is based on sine-Gordon Eq. (2.1) and a travelling wave transformation. We obtain new complex hyperbolic functions solutions to this system with help of Wolfram Mathematica 9, we also plot 3-dimensional and 2-dimensional graphics to some obtained solution using the same program in Wolfram Mathematica 9. Finally, we submit a comprehensive conclusions.
AtıfScopus83WoS85OpenAlex90İncele - BildiriAçık Erişim2017Novel wave surfaces to the fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation
Baskonus, Haci Mehmet; Yel, Gülnur; Bulut, Hasan; Simos, T.E.; Ch., Tsitouras
In this work, we apply the improved Bernoulli sub-equation function method to the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation. We obtain new travelling wave solutions to this model for values of M, n and m. We have obtained hyperbolic function solutions that describe some physical phenomena. Two- and three-dimensional surfaces of travelling wave solutions are plotted by using Wolfram Mathematica 9. At the end of this study, a conclusion is given by mentioning important findings.
AtıfScopus21WoS19OpenAlex21İncele - BildiriAçık Erişim2017New wave simulations to the (3+1)-dimensional modified Kdv-Zakharov-Kuznetsov equation
Baskonus, Haci Mehmet; Koç, Dilara Altan; Gülsu, Mustafa; Bulut, Hasan; Simos, T.E.; Ch., Tsitouras
In this study, we apply an effective method which is improved Bernoulli sub-equation function method (IBSEFM) to the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation. It gives some new wave simulations such as complex and exponential structures. We check up whether all structures verify the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov model. Then, we plot three and two dimensional surfaces of obtained solutions by using Wolfram Mathematica 9.
AtıfScopus2OpenAlex2İncele - MakaleAçık Erişim2017Scopus SJRQ2Investigation of various travelling wave solutions to the extended (2+1)-dimensional quantum ZK equation
Baskonus, Haci Mehmet; Bulut, Hasan; Sulaiman, Tukur Abdulkadir
In this paper, with the aid of the Wolfram Mathematica 9 program, we obtain some novel complex hyperbolic function solutions to the extended (2+1)-dimensional quantum Zakharov-Kuznetsov equation by using the sine-Gordon expansion method. We find some complex and hyperbolic function solutions. Subsequently, we plot 2D surfaces representing the obtained solutions by considering some suitable values of the parameters. At the end of this paper, we compare our results with the existing results in the literature by presenting comprehensive conclusions.
AtıfScopus38WoS36OpenAlex50İncele - MakaleYalnız künye2016New complex exact travelling wave solutions for the generalized- Zakharov equation with complex structures
Bulut, Hasan; Baskonus, Haci Mehmet
In this paper, we apply the sine-Gordon expansion method which is one of the powerful methods to the generalized-Zakharov equation with complex structure. This algorithm yields new complex hyperbolic function solutions to the generalized-Zakharov equation with complex structure. Wolfram Mathematica 9 has been used throughout the paper for plotting two- and three-dimensional surface of travelling wave solutions obtained.
