Dynamics and Exact Traveling Wave Solutions of the Sharma–Tasso–Olver–Burgers Equation

Abstract

In this paper, to study the Sharma–Tasso–Olver–Burgers equation, we focus on the geometric properties and the exact traveling wave solutions. The corresponding traveling system is a cubic oscillator with damping, and it has time-dependent and time-independent first integral. For all bounded orbits of the traveling system, we give the exact explicit kink wave solutions.

Keywords

• Sharma–Tasso–Olver–Burgers equation
• integral system
• exact traveling wave solution
• phase portrait
• kink wave solution