Classical symmetries of the Klein-Gordon-Zakharov equations with time-dependent variable coefficients

In this article, we employ the group-theoretic methods to explore the Lie symmetries of the Klein-Gordon-Zakharov equations, which include time-dependent coefficients. We obtain the Lie point symmetries admitted by the Klein-Gordon-Zakharov equations along with the forms of variable coefficients. From the resulting symmetries, we construct similarity reductions.The similarity reductions are further analyzed using the power series method/approach and furnished the series solutions. Additionally, the convergence of the series solutions has been reported.