Abstract
In this paper, we provide new exact solutions of nonlinear Klein–Gordon (ϕ4) equation in 1+1-dimension. For simplicity, we focus on the static equation and ignore the time-dependence. The symmetric ϕ4 equation has played an important role in many areas of physics. We obtain several novel non-singular solutions of the symmetric ϕ4 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.
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