Finding solutions of some partial differential equations by extended trial equation method

This thesis consists of five distinct chapters. In the introduction part, which is the first chapter, some informations about partial differential equations and the emergence of the extended trial equation method and the development of the method are given. In the second part, some basic definitions and concepts required for this thesis study are included. In the third part, informations about the general structure of the extended trial equation method are introduced. In the fourth section, Extended trial equation method is discussed to find some exact solutions of (2+1)-dimensional nonlinear electrical transmission line, the Dullin-Gottwald-Holm Dynamical (DGHD), Benjamin-Bona-Mahony-Peregrine (BBMP) and the strain wave equations. Also, two and three dimensional graphics of the obtained solutions with the help of Mathematica 12 program are drawn for certain values. The fifth part is the conclusion part and comprehensive results about the obtained solutions in this thesis are stated.