Super-Kadomtsev-Petviashvili hierarchy and super-Grassmann manifold

DOI10.1007/BF00570769zbMath0617.58023OpenAlexW2024766494MaRDI QIDQ1822112

Kimio Ueno, Hiro-Fumi Yamada

Publication date: 1987

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00570769

zbMATH Keywords

Kadomtsev-Petviashvili hierarchydynamical system on a super Grassmann manifold

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

An extended integrable fractional-order KP soliton hierarchy ⋮ A supersymmetric extension of the Toda lattice hierarchy ⋮ A supersymmetric extension of the Toda lattice hierarchy ⋮ Differential algebras and \({\mathcal D}\)-modules in super Toda lattice hierarchy ⋮ The super-Toda lattice hierarchy ⋮ Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy ⋮ Super KP equations and Darboux transformations: Another perspective on the Jacobian super KP hierarchy

Cites Work

• Unnamed Item
• Solitons and infinite dimensional Lie algebras
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• A super soliton connection
• A global theory of supermanifolds
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS

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