ON THE SEMI – ANALYTICAL SOLUTIONS OF SOME NONLINEAR PHYSICAL EQUATIONS
Project no. 618 · Status: Kapanmış · 2016
Summary
The model of many problems encountered in various fields of engineering and science such as plasma physics, optical fibers, mathematical physics, chemical physics and fluid mechanics is expressed by nonlinear partial differential equations. Therefore, it is very important to investigate and examine the solutions of these equations. Analytical solutions of nonlinear partial differential equations can not be obtained by classical methods. In this project, wave solutions of some nonlinear physical equations are obtained by Modified Simple Equation Method and wave types are determined. This thesis consists of five parts except the introduction. In the second part, some basic definitions and concepts of partial differential equations are given. In the third part, Modified Simple Equation Method has been introduced. In the last two section, exact solutions of some nonlinear physical equations are obtained by Modified Simple Equation Method. The physical behaviors of the obtained semi-analytical solutions are examined. Threedimensional graphics of solution functions are drawn using the Mathematica program. Key Words: The nonlinear partial differential equations, modified simple equation method, nonlinear evolution equations.