2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68630In this paper we obtain the general solution to the minimal surface equation, namely its local Weierstrass-Enneper representation, by using a system of hodographic coordinates. This is done by using the method of solving the Born-Infeld equations by Whitham. We directly compute conformal coordinates on the minimal surface which give the Weierstrass-Enneper representation. From this we derive the hodographic coordinate $ρ\in D \subset {\CC}$ and $σ$ its complex conjugate which enables us to write the Weierstrass-Enneper representation in a new way.5-pages, semi-expository article, published in Proceedings of the Indian Academy of Sciences, 2003 (an electronic journal)Differential GeometryAnalysis of PDEstext