2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105178We consider 2-surfaces arising from the Korteweg de Vries (KdV) equation. The surfaces corresponding to KdV are in a three dimensional Minkowski space. They contain a family of quadratic Weingarten and Willmore-like surfaces. We show that a subset of KdV surfaces can be obtained from a variational principle where the Lagrange function is a polynomial function of the Gaussian and mean curvatures. We finally give a method for constructing the surfaces explicitly, i.e., finding their parametrizations or finding their position vectors.20 pages, Latex fileExactly Solvable and Integrable SystemsGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical PhysicsDifferential Geometrytext