Document Type : Research Articles

Authors

• Sait San ¹
• Bahri Koc ²
• Sukri Khareng ²

¹ Mathematics and Computer Department, Science and Letters Faculty, Osmangazi University, Eskisehir, Turkey

² Eskişehir Osmangazi University

Abstract

In this paper, by utilizing the Sine-Gordan expansion method, soliton solutions of the higher-order improved Boussinesq equation, Kuramoto-Sivashinsky equation, and seventh-order Sawada-Kotera equation are obtained. Given partial differential equations are reduced to ordinary differential equations, by choosing the compatible wave transformation associated with the structure of the equation. Based on the solution of the Sine-Gordan equation, a polynomial system of equations is obtained according to the principle of homogeneous balancing. The solution of the outgoing system gives the parameters which are included by the solution. Plot3d and Plot2d graphics are given in detail. As a result, many different graphic models are obtained from soliton solutions of equations that play a very important role in mathematical physics and engineering.

Keywords

• The Sine-Gordon Expansion Method
• Travelling Wave Solution
• Nonlinear Equations
• Higher-Order Boussinesq equation