Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methods

Abstract

The Schamel Burgers’ equation is a nonlinear partial differential equation which produces the shock type traveling waves in extraordinary physical situations. Previously, this sort of equation is solved with well known tan−hyperbolicmethod. In this paper, we present the exact solutions of the Schamel Burgers’ equation using generalized-improved G′Gand generalized G′Gexpansion methods with the assistance of Mathematica-12 and observe the behavior of the solutions both analytically and numerically with requisite graphs. The solutions of mentioned equation admits the shock like dynamical structures.

Keywords

• Schamel Burgers’ equation
• Shock waves