New static solutions of symmetric $\phi^4$ equation

Avinash Khare; Saikat Banerjee; Avadh Saxena

doi:10.1016/j.aop.2023.169362

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arXiv · 2302.03737

New static solutions of symmetric $\phi^4$ equation

Avinash Khare·Saikat Banerjee·Avadh Saxena

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Abstract

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.

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Avinash Khare, Saikat Banerjee, Avadh Saxena. 2023-02-07. New static solutions of symmetric $\phi^4$ equation. https://doi.org/10.1016/j.aop.2023.169362

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