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.

AtıfScopus41·OpenAlex48

İncele

Askin, Muzaffer; Salti, Mustafa; Aydogdu, Oktay

We study cosmological scenarios of the polytropic gas (PG) dark matter-energy proposal in a Friedmann-Robertson-Walker (FRW) Universe. As a first step, we obtain an exact expression for the energy density of PG model by making use of the thermodynamics. Later, we investigate some cosmological quantities and perform neo-classical analyzes. Finally, we implement a connection between the PG and a homogenous minimally coupled scalar field by introducing its self-interacting potential.

AtıfScopus10·WoS10·OpenAlex13

İncele