New Soliton and Periodic Solutions for Nonlinear Wave Equation in Finite Deformation Elastic Rod

In this paper, we consider nonlinear wave equation in finite deformation elastic rod, and we ob- tain abundant new exact solutions for it by using the (G ' =G)-expansion method. The obtained solutions include hyperbolic function solutions, trigonometric function solutions and rational solutions. It is shown that (G ' =G)-expansion method provides a powerful mathematical tool for solving a great many nonlinear