Turkish Journal of Mathematics and Computer Science

Yazarlar: Tolga AKTÜRK, Eda GÜNAYDIN

Konular:Mühendislik

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

Özet: 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.

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