On Solving a Non-linear Equation in Five-Dimensional Minimal Gauged Supergravity

Document Type : Research Article

Authors

1 Department of Chemistry, Jagjiwan College, Magadh University, 823003 Gaya, Bihar, India

2 Department of Physics, K.L.S. College, Magadh University, Nawada 805110, India

10.22128/ansne.2025.3098.1167

Abstract

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.

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Analytical and Numerical Solutions for Nonlinear Equations
Volume 9, Issue 2
September 2025
Pages 280-286

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History

  • Receive Date: 12 October 2025
  • Accept Date: 02 November 2025
  • Publish Date: 01 September 2025

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