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- MakaleAçık Erişim2021Scopus SJRQ3New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method
Dusunceli, Faruk; Celik, Ercan; Askin, Muzaffer; Bulut, Hasan
In this study, the doubly dispersive equation is presented by the application of the improved Bernoulli sub-equation function method (IBSEFM). The doubly dispersive equation which is a nonlinear partial differential equation is transformed into nonlinear ordinary differential equation using a wave transformation and then is solved by IBSEFM. Some new solutions are successfully constructed. All the obtained solutions in this study have been satisfied the doubly dispersive equation. In the present study, we have used Wolfram Mathematica 9 software for all of the computations and graphic plottings.
AtıfScopus41OpenAlex48
İncele - 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 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