Finding exact solutions for selected nonlinear evolution differential equations

Abstract

Burgers, Breaking Soliton and Boussinesq equations are applicable in different areas of physics. Searching their real solutions are particularly important. In this research the modified Kudryashov method is applied for finding exact travelling wave solutions of the Burgers, Boussinesq and Breaking soliton equation. To visualize the dynamics, we present the solutions in the form of graphs in 2D and 3D plots. The solutions summarize that, the Kudryashov modified method is effectual for solving nonlinear evolution differential equations in exact form.