Resumen de An Exterior Differential System for a Generalized Korteweg-de Vries Equation and its Associated Integrability

Paul Bracken

• The method of Cartan is reviewed by applying it to the classical Korteweg-de Vries equation. The method is then applied to a new generalized Korteweg-de Vries equation for which a prolongation is obtained. As a consequence, a Bäcklund transformation for the equation is derived as well as the associated potential equation.