Damghan University Press Analytical and Numerical Solutions for Nonlinear Equations 3060-785X 9 2 2025 09 01 On Solving a Non-linear Equation in Five-Dimensional Minimal Gauged Supergravity 280 286 1951 10.22128/ansne.2025.3098.1167 EN Waheed Hassan Raja Department of Physics, K.L.S. College, Magadh University, Nawada 805110, India Sunil Kumar Department of Chemistry, Jagjiwan College, Magadh University, 823003 Gaya, Bihar, India Journal Article 2025 10 12 We investigate a class of non-linear differential equations arising from five-dimensional minimal gauged supergravity. Specifically, we focus on the structure of the scalar function governing supersymmetric backgrounds and show how its governing equation can be reduced to a solvable non-linear system. By employing an analytic approximation and numerical methods, we present explicit solutions and analyze their physical interpretation within the AdS/CFT framework. Our results highlight the interplay between geometry, gauge fields, and supersymmetry, and extend the known catalogue of exact solutions. https://ansne.du.ac.ir/article_1951_a49ff5389fa74e4a3ca54697cf8ddfde.pdf