Grassmannians, Nonlinear Wave Equations and Generalized Schur Functions
| dc.creator | Kasman, Alex | |
| dc.date | 1998-11-11 | |
| dc.date | 1999-02-26 | |
| dc.date.accessioned | 2026-07-07T04:32:35Z | |
| dc.date.available | 2026-07-07T04:32:35Z | |
| dc.description | A 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. | |
| dc.description | To appear in "Contemporary Mathematics". (Modified as per requests of editor and referees. No serious changes.) | |
| dc.identifier | https://arxiv.org/abs/math-ph/9811008 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9811008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58242 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Functional Analysis | |
| dc.title | Grassmannians, Nonlinear Wave Equations and Generalized Schur Functions | |
| dc.type | text |