2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58242A set of functions is introduced which generalizes the famous Schur polynomials and their connection to Grasmannian manifolds. These functions are shown to provide a new method of constructing solutions to the KP hierarchy of nonlinear partial differential equations. Specifically, just as the Schur polynomials are used to expand tau-functions as a sum, it is shown that it is natural to expand a quotient of tau-functions in terms of these generalized Schur functions. The coefficients in this expansion are found to be constrained by the Plücker relations of a grassmannian.To appear in "Contemporary Mathematics". (Modified as per requests of editor and referees. No serious changes.)Mathematical PhysicsAlgebraic GeometryAnalysis of PDEsFunctional Analysistext