Block-diagonalizability problem for hydrodynamic type systems

DOI10.1063/1.2206692zbMath1112.37054OpenAlexW2083136137MaRDI QIDQ3441930

Oleg I. Bogoyavlenskij

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2206692

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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)

Related Items (8)

Kinetic equation for soliton gas: integrable reductions ⋮ Decoupling of hydrodynamic-type systems into block triangular interacting subsystems ⋮ On the decoupling problem of general quasilinear first order systems in two independent variables ⋮ Decoupling problem for systems of quasi-linear PDE's ⋮ Generalized Nijenhuis torsions and block-diagonalization of operator fields ⋮ Haantjes algebras and diagonalization ⋮ Reducing quasilinear systems to block triangular form ⋮ Higher Haantjes brackets and integrability

Cites Work

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• Necessary conditions for existence of non-degenerate Hamiltonian structures
• Complex analytic coordinates in almost complex manifolds
• Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications
• Nijenhuis G-manifolds and Lenard bicomplexes: A new approach to KP systems
• The Schouten bracket and Hamiltonian operators
• A simple model of the integrable Hamiltonian equation
• Some Remarks on the Nijenhuis Tensor
• Some Properties of Long Nonlinear Waves

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