2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119522All quasilinear NLS-type systems with fourth order symmetry are listed. Vector generalizations of some of them are constructed. Local master symmetries for several systems from the list are found.Exactly Solvable and Integrable SystemsMathematical PhysicsA symmetry test for quasilinear coupled systemstext