Yazarlar
Yayınlar
- 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.
AtıfWoS27OpenAlex40
İncele - 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 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 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