2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80382Zero curvature formulations, pseudo-potentials, modified versions, ``Miura transformations'', and nonlocal symmetries of the Korteweg--de Vries, Camassa-- Holm and Hunter--Saxton equations are investigated from an unified point of view: these three equations belong to a two--parameters family of equations ``describing pseudo-spherical surfaces'', and therefore their basic integrability properties can be studied by geometrical means.31 pagesExactly Solvable and Integrable SystemsMathematical PhysicsPattern Formation and Solitonstext