2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58282The set of integrable symmetries of the nonstationary Schrödinger equation is shown to admit a natural decomposition into subsets of mutually commuting symmetries. Hierarchies of time evolutions associated with each of these subsets ultimately lead to nonlinear (possibly, operator) equations of the Kadomtsev--Petviashvili I type or its higher analogues, thus demonstrating that the linear problem itself constructively determines the associated nonlinear integrable evolution equations and their hierarchies.Mathematical PhysicsHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext