  In this paper, we provide new exact solutions of nonlinear Klein-Gordon
($\phi^4$) equation in $1+1$-dimension. For simplicity, we focus on the static
equation and ignore the time-dependence. The symmetric $\phi^4$ equation has
played an important role in several areas of physics. We obtain several novel
non-singular solutions of the symmetric $\phi^4$ model in terms of the Jacobi
elliptic functions and compare them with the well-known solutions. Finally, we
categorize these solutions in terms of the potential parameters.
