Darboux transformations for the KP hierarchy in the Segal-Wilson setting

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Helminck, G.F. and Leur van de, J.W. (2000) Darboux transformations for the KP hierarchy in the Segal-Wilson setting. [Report]

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Abstract:In this paper it is shown that inclusions inside the Segal-Wilson Grassmannian give rise to Darboux transformations between the solutions of the $KP$-hierarchy corresponding to these planes. We present a closed form of the operators that procure the transformation and express them in the related geometric data. Further the associated transformation on the level of $\tau$-functions is given.
Item Type:Report
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/65722
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