Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold

Kimio Ueno, Hirofumi Yamada

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)59-68
Number of pages10
JournalLetters in Mathematical Physics
Volume13
Issue number1
DOIs
Publication statusPublished - 1987 Jan
Externally publishedYes

Fingerprint

Grassmann Manifold
hierarchies
Infinite Dimensions
General Solution
dynamical systems
Dynamical system
Hierarchy

ASJC Scopus subject areas

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

Cite this

Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold. / Ueno, Kimio; Yamada, Hirofumi.

In: Letters in Mathematical Physics, Vol. 13, No. 1, 01.1987, p. 59-68.

Research output: Contribution to journalArticle

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