Bi-Hamiltonian structure of super KP hierarchy

DOI10.1063/1.529536zbMath0764.58034arXivhep-th/9109009OpenAlexW2030369890MaRDI QIDQ4031027

Feng Yu

Publication date: 1 April 1993

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

Full work available at URL: https://arxiv.org/abs/hep-th/9109009

zbMATH Keywords

bi-Hamiltonian structuresuper KP hierarchysupersymmetric extensionsuper BKP hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of PDEs on manifolds (58J90) Applications of dynamical systems (37N99) Differential spaces (58A40) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (1)

On the Kadomtsev–Petviashvili hierarchy, Ŵ∞ algebra, and conformal SL(2,R)/U(1) model. I. The classical case

Cites Work

• Hamiltonian structure of M. Sato's hierarchy of Kadomtsev-Petviashvili equation
• Loop groups and equations of KdV type
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Super Hamiltonian structure of the even order SKP hierarchy without reduction
• Hamiltonian operators and infinite-dimensional Lie algebras
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• Nonperturbative two-dimensional quantum gravity

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