Applications of Nambu mechanics to systems of hydrodynamical type

DOI10.1063/1.1481955zbMath1060.37055OpenAlexW2048060237MaRDI QIDQ4832706

Partha Guha

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1481955

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Symplectic geometry, contact geometry (53D99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items

Quadratic Poisson structures and Nambu mechanics ⋮ Applications of Nambu Mechanics to Systems of Hydrodynamical Type II ⋮ Fractional Nambu dynamics

Cites Work

• The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds
• On foundation of the generalized Nambu mechanics
• Higher-order simple Lie algebras
• Nambu structures and integrable 1-forms
• Hamilton-Jacobi equations and brane associated Lagrangians
• Dynamical symmetries and Nambu mechanics
• On Filippov algebroids and multiplicative Nambu-Poisson structures
• Lax pair formulation for the Euler equation
• On 2D Euler equations. I. On the energy–Casimir stabilities and the spectra for linearized 2D Euler equations
• Companion equations for branes
• Volume Preserving Multidimensional Integrable Systems and NambuPoisson Geometry
• Lax Pairs and Darboux Transformations for Euler Equations
• An inverse scattering treatment for the flow of an ideal fluid in two dimensions
• The Schouten - Nijenhuis bracket, cohomology and generalized Poisson structures
• Generalized Hamiltonian Dynamics
• Multi-Hamiltonian structure of the Born–Infeld equation
• Remarks on Nambu-Poisson and Nambu-Jacobi brackets
• Singularities and bifurcations of 3-dimensional Poisson structures
• Super-integrable Calogero-type systems admit maximal number of Poisson structures