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- W1634167493 abstract "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 Plucker relations of a grassmannian." @default.
- W1634167493 created "2016-06-24" @default.
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- W1634167493 date "1999-01-01" @default.
- W1634167493 modified "2023-10-05" @default.
- W1634167493 title "Grassmannians, nonlinear wave equations and generalized Schur functions" @default.
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- W1634167493 doi "https://doi.org/10.1090/conm/246/03782" @default.
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