Abstract: This paper aims at searching out the existence of travelling wave solutions for the nonlinear Pochhammer-Chree equation.It is known that this equation has a strong background in both physics and mechanirs.The soliton-like travelling wave solutions for the nonlinear Pochhammer-Chree equation are obtained by comparing the existence and asymptotic behavior of solutions to the corresponding ordinary differential equations.The explicit expression of solitary solutions to the equation with power nonlinearity is given as well.Furthermore,some conclusions in this paper for ordinary differential equations are also of significance,and the method being introduced is applicable to other physical models.