Novel exact double periodic Soliton solutions to strain wave equation in micro structured solids

Abstract

In this study, generalized Jacobi elliptic function method is implemented to strain wave equation in microstructure solids (SWEMSS). This method is based on the elliptic equation which is a powerful equation and has abundant of elliptic function solutions. This study found new doubly periodic wave solutions. These doubly periodic wave solutions degenerated as single periodic solutions when m→0 and solitary wave solutions when m→1. The new obtained single periodic solutions and solitary wave solutions of the SWEMSS could help in the understanding of the phenomena in which waves are governed by such equation. We also presented graphical movement of few obtained solutions by using different values for parameters involved in the solutions. Also, the aspects of stability analysis for the considered equations is investigated using the linear stability technique.