Noncommutative deformation of the Kadomtsev-Petviashvili hierarchy

DOI10.1007/BF02365314zbMath0921.35146MaRDI QIDQ1269965

E. E. Demidov

Publication date: 22 October 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

integrabilitysupersymmetrynoncommutative space-timeKadomtsev-Petviashvili hierarchynoncommutative Sato-Wilson equation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

Frölicher structures, diffieties, and a formal KP hierarchy ⋮ Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase factorization, and Frölicher Lie groups ⋮ Massey products, A_∞-algebras, differential equations, and Chekanov homology ⋮ The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra

Cites Work

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• Complete integrability of the Kadomtsev-Petviashvili equation
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Solvability of the super KP equation and generalized of the Birkhoff decomposition
• Algebraic study on the super-KP hierarchy and the ortho-symplectic super- KP hierarchy
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• The flag manifold and representations of the quantum full linear group
• GEOMETRY OF UNIVERSAL GRASSMANN MANIFOLD FROM ALGEBRAIC POINT OF VIEW
• YANG-BAXTER OPERATORS AND NONCOMMUTATIVE DE RHAM COMPLEXES
• Covariant differential calculus on the quantum hyperplane

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