Investigation of solutions of the Pade-II equation by MEFM

Year 2018, Volume: 10, 263 - 268, 29.12.2018

Tolga Aktürk , Eda Günaydın

Abstract

In this study, singular soliton, topological, nontopological and rational solutions of the Pade-II equation, which is a type of nonlinear partial differential equations, are obtained. By selecting the appropriate parameters, solutions were obtained which provided the equations. Two and three dimensional graphics of the solutions were drawn. It appears that the resulting solution functions and graphics have similar features. Hyperbolic and trigonometric functions were also seen to have the same properties in their graphs since they are periodic functions at the same time. The obtained solutions were found by using the modified expansion method. All solutions using this method are controlled by the Mathematica software program which provides the Pade-II equation. Using the modified expansion function method, the nonlinear partial differential equation with travelling wave transformation takes the form of nonlinear ordinary differential equation. According to the balancing principle, there are also the degree of the solution function containing the exponential function.

Keywords

The modified expansion function method (MEFM), The Pade-II equation

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