Nonabelian KP hierarchy with Moyal algebraic coefficients

DOI10.1016/0393-0440(94)90040-XzbMath0821.35124arXivhep-th/9305169OpenAlexW2031369213MaRDI QIDQ1340161

Kanehisa Takasaki

Publication date: 3 October 1995

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9305169

zbMATH Keywords

KP hierarchyMoyal algebrahigher dimensional integrable systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Deformations of general structures on manifolds (58H15) Lie algebras and Lie superalgebras (17B99)

Related Items (15)

On (t2, t3)-Zakharov–Shabat equations of generalized Kadomtsev–Petviashvili hierarchies ⋮ ON THE REDUCED SU(N) GAUGE THEORY IN THE WEYL–WIGNER–MOYAL FORMALISM ⋮ On the Moyal deformation of Kapustin-Witten systems ⋮ The Discrete Nonlinear Schrödinger Equation and its Lie Symmetry Reductions ⋮ Self-dual gravity via Hitchin’s equations ⋮ The Lagrangian of a self-dual gravitational field as a limit of the SDYM Lagrangian. ⋮ On the Weyl-Wigner-Moyal description of \(\text{SU}(\infty)\) Nahm equations. ⋮ Multidimensional integrable systems and deformations of Lie algebra homomorphisms ⋮ Nonlinear quantum-dynamical system based on the Kadomtsev-Petviashvili II equation ⋮ A geometry for multidimensional integrable systems ⋮ \(W_n^{(\kappa)}\) algebra associated with the Moyal KdV hierarchy ⋮ Dispersionless noncommutative Kadomtsev-Petviashvili hierarchy: multi-Hamiltonian structure and large N-like V-algebras ⋮ New heavenly double copies ⋮ The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra ⋮ GEODESIC FLOWS, VON NEUMANN EQUATION AND QUANTUM MECHANICS ON NONCOMMUTATIVE CYLINDER

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