Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold

Kimio Ueno; Hirofumi Yamada

doi:10.1007/BF00570769

Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold

Kimio Ueno^*, Hirofumi Yamada

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

The super-Kadomtsev-Petviashvili (SKP) hierarchy is introduced, and the general solutions are explicitly represented in terms of a superdeterminant. It is proved that the SKP hierarchy can be regarded as a dynamical system on a super-Grassmann manifold of infinite dimensions.

Original language	English
Pages (from-to)	59-68
Number of pages	10
Journal	Letters in Mathematical Physics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/BF00570769
Publication status	Published - 1987 Jan
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Physics and Astronomy(all)
Mathematical Physics

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abstract = "The super-Kadomtsev-Petviashvili (SKP) hierarchy is introduced, and the general solutions are explicitly represented in terms of a superdeterminant. It is proved that the SKP hierarchy can be regarded as a dynamical system on a super-Grassmann manifold of infinite dimensions.",

author = "Kimio Ueno and Hirofumi Yamada",

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AB - The super-Kadomtsev-Petviashvili (SKP) hierarchy is introduced, and the general solutions are explicitly represented in terms of a superdeterminant. It is proved that the SKP hierarchy can be regarded as a dynamical system on a super-Grassmann manifold of infinite dimensions.

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Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold

Abstract

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