An effective technique of exp(-ϕ(ξ))- expansion method for the Schamel-Burgers equation

The Schamel-Burgers equation, producing the shock-type traveling waves in magnificent physical cases, has lots of potential for analyzing ion-acoustic waves in plasma physics and fluid dynamics. Scientists have worked for a long time to explore the traveling wave solutions of such equations. Thus, in this article, some new traveling wave solutions of the Schamel-Burgers equation, different from those found in the literature, are generated. For this aim, the exp(-ϕ(ξ))- expansion method is implemented. We also provide the solutions through two- and three-dimensional figures. Generally, exact traveling wave solutions will be useful in the theoretical and numerical study of the nonlinear evolution equations. The obtained results are very supportive, which ensures a more effective mathematical instrument for examining exact traveling wave solutions of the nonlinear equations arising in the recent area of applied sciences and engineering