Soliton solutions of DSW and Burgers equations by generalized (G'/G) -expansion method

Nonlinear evolution equations play a significant role in applied mathematics, including ordinary and partial differential equations, which are frequently used in many disciplines of applied sciences such as condensed matter physics, biophysics, atomic chains, optical fiber, chemical kinematics, molecular crystals and mathematical biology. The new generalized (G'/G)-expansion method provides an effective and more powerful mathematical tool for solving NLEEs arising in applied mathematics and mathematical physics for their easy calculation procedure. In this paper, two nonlinear evolution equations named the Drinfeld-Sokolov-Wilson equation and the Burgers equation are considered to find more new exact solutions by executing the new generalized (G'/G)-expansion method. Each of the derived solutions includes an explicit function of the variables in the equations under consideration. It has been established that the suggested techniques are more potential and successful at obtaining soliton solutions for nonlinear evolution equations. We provide some 3D plots to realize characteristics of the solutions.