2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119525We introduce a hierarchy of integrable PDEs in 2+1 dimensions arising from the commutation of 2-dimensional vector fields. We also solve the associated Cauchy problems, using the recently developed Inverse Scattering Transform for 1-parameter families of multidimensional vector fields.12 pages. To be published in Theoretical Mathematical PhysicsExactly Solvable and Integrable Systemstext