Application of ( G'/G^2 )-expansion method to microstructured solids, magneto-electro-elastic circular rod and (2+1)- dimensional nonlinear electrical lines

Abstract

In this paper, we successfully extract solitary wave solutions in the shape of rational, hyperbolic and periodic functions by means of ($\frac{G'}{G^2}$)-expansion approach to the strain wave equation in micro-structure solids, longitudinal wave equation in magneto-electric-elastic circular rod and discrete nonlinear electrical transmission line in (2+1) dimension, which are being widely discussed in mathematical physics. ($\frac{G'}{G^2}$)-expansion method is a very useful approach and exceptionally helpful in contrast with other analytical methods. For the validity of the obtained solutions, the constraint conditions are also listed. This paper will be beneficial for the encouragement of researchers in modern era. Thus, this study shows the effectiveness and the reliability of the method. We also plot 3D, 2D and their crossponding contour graphs for better explanation of the achieved solutions by choosing the appropriate values of the parameters involved in solutions.