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Algebraic study on the super-KP hierarchy and the ortho-symplectic super-KP hierarchy

โœ Scribed by Kimio Uneo; Hirofumi Yamada; Kaoru Ikeda

Publisher
Springer
Year
1989
Tongue
English
Weight
892 KB
Volume
124
Category
Article
ISSN
0010-3616

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๐Ÿ“œ SIMILAR VOLUMES

Symmetries of the super KP hierarchy
Symmetries of the super KP hierarchy
โœ K. Takasaki ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 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

Super KP equations and Darboux transform
Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy
โœ Gregorio Falqui; Cesare Reina; Alessandro Zampa ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 214 KB

We generalize to the supersymmetric case the representation of the KP hierarchy as a set of conservation laws for the generating series of the conserved densities. We show that the hierarchy so obtained is isomorphic to the JSKP of Mulase and Rabin. We identify its "bosonic content" with the so-call