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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. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

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 9. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

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 9. [ABSTRACT FROM AUTHOR]

In this paper, we present a numerical study and a circuit design to prove existence of chaos in the fractional order Logistic delay system. In addition, we investigate an active control synchronization scheme in this system. Numerical and cicruit simulations show the effectiveness and feasibility of this method. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

In this paper, by means of a proper transformation and symbolic computation, we study high order wave equations of KdV type (I). We obtained classification of exact solutions that contain soliton, rational, trigonometric and elliptic function solutions by using the extended trial equation method. As a result, the motivation of this paper is to utilize the extended trial equation method to explore new solutions of high order wave equation of KdV type (I). This method is confirmed by applying it to this kind of selected nonlinear equations. [ABSTRACT FROM AUTHOR]

The main goal of the present research, the Modified Kudryashov Method has been used to obtain the exact solutions of Generalized Fisher Equation with fractional order. This approach has been newly submitted to the literature to obtain analytical solutions of nonlinear partial differential equations. In recent years, it has been aroused deep and comprehensive interest among scientists. This trend is largely because it is obtaining analytical solutions such as soliton solutions, hyperbolic function solutions and elliptic function solutions of fractional differential equations. When it comes to this study, we have applied Modified Kudryashov Method to obtain exact solution of Generalized Fisher Equation with fractional order in that it is hyperbolic Fibonacci function. The results obtained via this technique have been given for interpretation of the solutions which is modeling of equations. [ABSTRACT FROM AUTHOR]