Bright and dark soliton solutions of the strain wave equation in microstructured solids

Abstract

By using the approach of dynamical system, the exact traveling wave solutions of the strain wave equation in microstructured solids are solved. As results, all kinds of phase portraits in the parametric space are shown. The exact solutions are obtained including bright and dark soliton solutions. With the aid of Maple, the graphical representations and physical explanations of the bright and dark soliton solutions are given.