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On Segal-Wilson's construction for the τ-functions of the constrained KP hierarchies

✍ Scribed by You-Jin Zhang

Publisher
Springer
Year
1996
Tongue
English
Weight
569 KB
Volume
36
Category
Article
ISSN
0377-9017

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✦ Synopsis

In this Letter, we study the constrained KP hierarchies by employing Segal-Wilson's theory on the r-functions of the KP hierarchy. We first describe the elements of the Grassmannian which correspond to solutions of the constrained KP hierarchy, and then we show how to construct its rational and soliton solutions from these elements of the Grassmannian.

📜 SIMILAR VOLUMES

On the polynomial τ-functions for the KP
On the polynomial τ-functions for the KP hierarchy and the bispectral property
✍ Jorge P. Zubelli 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 317 KB

We show that the z-functions obtained from Schur polynomials lead to wave functions w(x~, x 2 . . . . ;k) that possess the following bispectral property: There exists a differential operator B(k, Ok), independent of xl, such that B(k, #k)W =O(Xl)W, where | is independent of k. This extends for the K