2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62331The L-equivalent counterpart of the M-LXIX equation is found. This L-equivalent equation is the Gauss-Codazzi equation which is integrable by the dressing method. This means that the M-LXIX equation is also integrable in this sense.5 pages, Latex, no figuresDifferential GeometryGeometry and integrability of the M-LXIX equationtext