@article{article_444033, title={Investigation of solutions of the Pade-II equation by MEFM}, journal={Turkish Journal of Mathematics and Computer Science}, volume={10}, pages={263–268}, year={2018}, author={Aktürk, Tolga and Günaydın, Eda}, keywords={The modified expansion function method (MEFM),The Pade-II equation}, abstract={<div>In this study, singular soliton, topological, nontopological and rational solutions of the  <span style="font-size:.9em;">Pade-II equation, which is a type of nonlinear partial differential equations, are obtained. By  </span> <span style="font-size:.9em;">selecting the appropriate parameters, solutions were obtained which provided the equations.  </span> <span style="font-size:.9em;">Two and three dimensional graphics of the solutions were drawn. It appears that the resulting  </span> <span style="font-size:.9em;">solution functions and graphics have similar features. Hyperbolic and trigonometric functions  </span> <span style="font-size:.9em;">were also seen to have the same properties in their graphs since they are periodic functions at  </span> <span style="font-size:.9em;">the same time. The obtained solutions were found by using the modified expansion method.  </span> <span style="font-size:.9em;">All solutions using this method are controlled by the Mathematica software program which  </span> <span style="font-size:.9em;">provides the Pade-II equation. Using the modified expansion function method, the nonlinear  </span> <span style="font-size:.9em;">partial differential equation with travelling wave transformation takes the form of nonlinear  </span> <span style="font-size:.9em;">ordinary differential equation. According to the balancing principle, there are also the degree  </span> <span style="font-size:.9em;">of the solution function containing the exponential function. </span> </div>}, publisher={Matematikçiler Derneği}