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Kinetic representation of the KP hierarchy

✍ Scribed by John Gibbons; Boris A. Kupershmidt


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
226 KB
Volume
139
Category
Article
ISSN
0375-9601

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πŸ“œ SIMILAR VOLUMES


The generalized KP hierarchy
✍ C. S. Xiong πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 224 KB
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✍ K. Takasaki πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 307 KB

Symmetries of the super Kadomtsev-Petviashvili hierarchy are studied. A key role is played by a ~-module structure, which connects the nonlinear system with the geometry of an infinite-dimensional super Grassmannian manifold. Infinitesimal action of a Lie superalgebra on the super Grassmannian manif

The KP hierarchy in Miwa coordinates
✍ Boris Konopelchenko; Luis Martı́nez Alonso πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 80 KB

A systematic reformulation of the KP hierarchy by using continuous Miwa variables is presented. Basic quantities and relations are defined and determinantal expressions for Fay's identities are obtained. It is shown that in terms of these variables the KP hierarchy gives rise to a Darboux system des