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Differential-geometric invariants of the Hamiltonian systems of PDE's

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Publication:863134
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DOI10.1007/s00220-006-0016-2zbMath1170.37328OpenAlexW2023138118WikidataQ115388626 ScholiaQ115388626MaRDI QIDQ863134

Oleg I. Bogoyavlenskij

Publication date: 25 January 2007

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

Full work available at URL: https://doi.org/10.1007/s00220-006-0016-2



Mathematics Subject Classification ID

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Cites Work

  • Necessary conditions for existence of non-degenerate Hamiltonian structures
  • Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
  • Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
  • Solutions in the large for nonlinear hyperbolic systems of equations
  • Weak solutions of nonlinear hyperbolic equations and their numerical computation
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