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An elementary approach to the polynomial τ-functions of the KP Hierarchy

✍ Scribed by G. Falqui; F. Magri; M. Pedroni; J. P. Zubelli

Book ID
110553506
Publisher
SP MAIK Nauka/Interperiodica
Year
2000
Tongue
English
Weight
555 KB
Volume
122
Category
Article
ISSN
0040-5779

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📜 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

On Segal-Wilson's construction for the τ
On Segal-Wilson's construction for the τ-functions of the constrained KP hierarchies
✍ You-Jin Zhang 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 569 KB

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 soli