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• W1597686174 abstract "In this paper a purely algebraic setting is described in which a characterization of the dual wavefunctions of the multicomponent $KP$-hierarchy and an interpretation of the bilinear form of this system of nonlinear equations can be given. The framework enables the construction of solutions starting from a matrix version of the Sato Grassmannian and the expression in formal power series determinants, the so-called $tau$-functions. This leads to a geometric description of the elementary Darboux transformations for the $n$-component $KP$-hierarchy and one concludes with showing how to construct them, both at the differential operator level as at the $tau$-function level." @default.
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• W1597686174 date "2002-01-01" @default.
• W1597686174 modified "2023-09-23" @default.
• W1597686174 title "Elementary Darboux transformations for the $n$-component $KP$-hierarchy" @default.
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