Letters in Mathematical Physics

, Volume 13, Issue 1, pp 59–68 | Cite as

Super-Kadomtsev—Petviashvili hierarchy and super-Grassmann manifold

  • Kimio Ueno
  • Hirofumi Yamada
Article

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.

Keywords

Manifold Dynamical System Statistical Physic General Solution Group Theory 

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Copyright information

© D. Reidel Publishing Company 1987

Authors and Affiliations

  • Kimio Ueno
    • 1
  • Hirofumi Yamada
    • 2
  1. 1.Department of MathematicsYokohama City UniversityYokohamaJapan
  2. 2.Department of MathematicsHiroshima UniversityHiroshimaJapan

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