Compatible Poisson brackets of hydrodynamic type
From MaRDI portal
Publication:2716905
DOI10.1088/0305-4470/34/11/328zbMath1010.37044arXivmath/0005221OpenAlexW1964064843MaRDI QIDQ2716905
Publication date: 16 May 2001
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0005221
Lax pairNijenhuis tensorWeingarten operatorinvariant differential-geometric criterion of the compatibility
Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)
Related Items (max. 100)
Generalized symmetries, conservation laws and Hamiltonian structures of an isothermal no-slip drift flux model ⋮ Hamiltonian structures and their reciprocal transformations for the \(r\)-KdV-CH hierarchy ⋮ Central invariants revisited ⋮ Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures ⋮ Novel integrable reductions in nonlinear continuum mechanics via geometric constraints ⋮ Variational Bihamiltonian cohomologies and integrable hierarchies. II: Virasoro symmetries ⋮ Compatible metrics and the diagonalizability of nonlocally bi-Hamiltonian systems of hydrodynamic type ⋮ Pencils of compatible metrics and integrable systems ⋮ Poisson pencils: reduction, exactness, and invariants ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations ⋮ Exact Poisson pencils, \(\tau \)-structures and topological hierarchies ⋮ Inherited structures in deformations of Poisson pencils ⋮ Miura-reciprocal transformations and localizable Poisson pencils ⋮ Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations ⋮ Frobenius manifolds and central invariants for the Drinfeld-Sokolov bihamiltonian structures ⋮ Jacobi structures of evolutionary partial differential equations ⋮ Deformations of semisimple bihamiltonian structures of hydrodynamic type ⋮ Hamiltonian operators of Dubrovin-Novikov type in 2D ⋮ The classification of nonsingular multidimensional Dubrovin-Novikov brackets ⋮ Nijenhuis geometry ⋮ Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type ⋮ Applications of Nijenhuis geometry: non-degenerate singular points of Poisson-Nijenhuis structures
This page was built for publication: Compatible Poisson brackets of hydrodynamic type