Volume Preserving Multidimensional Integrable Systems and Nambu­Poisson Geometry

DOI10.2991/jnmp.2001.8.3.2zbMath0987.35143arXivnlin/0107075OpenAlexW3100513804MaRDI QIDQ2744648

Partha Guha

Publication date: 23 June 2002

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

Full work available at URL: https://arxiv.org/abs/nlin/0107075

zbMATH Keywords

twistor constructiondispersionless KP type equationNambu-Poisson mechanics

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (6)

A 3-Lie algebra and the dKP Hierarchy ⋮ Applications of Nambu mechanics to systems of hydrodynamical type ⋮ Dissipative \(N\)-point-vortex models in the plane ⋮ On time-dependent Hamiltonian realizations of planar and nonplanar systems ⋮ Applications of Nambu Mechanics to Systems of Hydrodynamical Type II ⋮ On generalized Lax equation of the Lax triple of KP Hierarchy

Cites Work

• A geometry for multidimensional integrable systems
• Stabilization of rigid body dynamics by the Energy-Casimir method
• The nonlinear graviton in interaction with a photon
• The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds
• On foundation of the generalized Nambu mechanics
• Aspects of classical and quantum Nambu mechanics
• Deformation quantization and Nambu mechanics
• Volume-preserving integrable systems and Nambu - Poisson manifolds
• SDIFF(2) KP HIERARCHY

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