τ-Functions for a two-point version of the KP-hierarchy

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Helminck, G.F. (2003) τ-Functions for a two-point version of the KP-hierarchy. Indagationes Mathematicae, 14 (3-4). pp. 367-383. ISSN 0019-3577

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Abstract:In this paper a multipoint version of the linearization of the KP-hierarchy is described. Solutions of this system in the form of wave functions are constructed starting from a suitable Grassmann manifold and a group of commuting flows corresponding to the configuration of n points in C. The failure of equivariance at lifting these flows to the determinant bundle over this Grassmann manifold is measured by the determinants of certain Fredholm operators, the so-called τ-functions. In the case of two points an explicit relation between these τ-functions and the wave functions is derived.
Item Type:Article
Copyright:© 2003 Elsevier
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/75411
Official URL:http://dx.doi.org/10.1016/S0019-3577(03)90052-8
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