Sürdürülebilir Kalkınma Amaçları
Yayınlar
- 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.
AtıfScopus33OpenAlex40
İncele - 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 - 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 Erişim2017On Some Complex Aspects of the (2+1)-dimensional Broer-Kaup-Kupershmidt System
Bulut, Hasan; Isik, Hilal Arslanoglu; Sulaiman, Tukur Abdulkadir; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T; Belgacem, FB
The improved Bernoulli sub-equation function method is used in extracting some new exponential function solutions to the (2+1)-dimensional Broer-Kaup-Kupershmidt system. It is of vital effort to look for more solutions of the (2+1)-dimensional Broer-Kaup-Kupershmidt system, which are very helpful for coastal and civil engineers to apply the nonlinear water models in a harbor and coastal design. All the obtained solutions satisfied the (2+1)-dimensional Broer-Kaup-Kupershmidt system. The two-and three-dimensional shapes of all the obtained solutions in this paper are also presented. All the computations and the graphics plots in this study are carried out with the aid of the Wolfram Mathematica 9.
AtıfWoS29OpenAlex31İncele - 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 Erişim2017Some Prototype Results of the Symmetric Regularized Long Wave Equation Arising in Nonlinear Ion Acoustic Waves
Isik, Erdem; Bulut, Hasan; Atas, Sibel Sehriban; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T; Belgacem, FB
In this manuscript, we consider the Bernoulli sub-equation function method for obtaining new exponential prototype structures to th Symmetric Regularized Long Wave mathematical model. We obtain new results by using this technique. We plot two-and three-dimensional surfaces of the results by using Wolfram Mathematica 9. At the end of this manuscript, we submit a conclusion in the comprehensive manner.
- BildiriAçık Erişim2017Some Novel Exponential and Complex Structural Properties of the Fisher Equation Arising in Mathematical Bioscience
Bulut, Hasan; Atas, Sibel Sehriban; Baskonus, Had Mehmet; Atangana, A; Bulut, H; Hammouch, Z; Baskonus, HM; Mekkaoui, T; Belgacem, FB
In this manuscript, we consider the Bernoulli sub-equation function method for obtaining new exponential and complex prototype structures to the Fisher Equation arising in Mathematical biosciences. We obtain new results by using the technique for new properties of model and for more understanding of properties of model. We plot two-and three-dimensional surfaces of the results by using Wolfram Mathematica 9. At the end of this manuscript, we submit a conclusion in the comprehensive manner.
AtıfWoS3OpenAlex3İncele - 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 - MakaleAçık Erişim2017Scopus SJRQ2On the new hyperbolic and trigonometric structures to the simplified MCH and SRLW equations
Bulut, Hasan; Sulaiman, Tukur Abdulkadir; Erdogan, Fevzi; Mehmet Baskonus, Haci
With the aid of the Wolfram Mathematica software, the powerful sine-Gordon expansion method is used in constructing some new solutions to the two well-known nonlinear models, namely, the simplified modified Camassa-Holm and symmetric regularized long-wave equations. We obtain some novel complex, trigonometric and hyperbolic function solutions to these two equations. We also plot the three-dimensional and two-dimensional graphics for each solutions obtained using the same programming code in Wolfram Mathematica software. Finally, we submit a comprehensive conclusions.
AtıfScopus30OpenAlex31İncele - 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.
- 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
