Applications of Nijenhuis geometry II: maximal pencils of multi-Hamiltonian structures of hydrodynamic type

DOI10.1088/1361-6544/abed39zbMath1475.37075arXiv2009.07802OpenAlexW3174429210WikidataQ114096645 ScholiaQ114096645MaRDI QIDQ5000106

Alexei V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev

Publication date: 6 July 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.07802

zbMATH Keywords

coupled KdV equationsNijenhuis operatorsPoisson brackets of hydrodynamic typegeodesically equivalent metricsmulti-Hamiltonian structures

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (12)

Proof of Laugwitz Conjecture and Landsberg Unicorn Conjecture for Minkowski norms with -symmetry ⋮ Nijenhuis geometry. III: \(\mathrm{gl}\)-regular Nijenhuis operators ⋮ Applications of Nijenhuis geometry. V: Geodesic equivalence and finite-dimensional reductions of integrable quasilinear systems ⋮ When a \((1,1)\)-tensor generates separation of variables of a certain metric ⋮ Nijenhuis operators and associative D-bialgebras ⋮ Symmetric matrices and maximal Nijenhuis pencils;Симметрические матрицы и максимальные нийенхейсовы пучки ⋮ Elementary differential singularities of three-dimensional Nijenhuis operators ⋮ Integrating Nijenhuis structures ⋮ Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures ⋮ Almost differentially nondegenerate Nijenhuis operators ⋮ Nijenhuis geometry ⋮ Singularities of two-dimensional Nijenhuis operators

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