Linearly degenerate reducible systems of hydrodynamic type

DOI10.1006/jmaa.1996.5357zbMath0917.35074OpenAlexW2005073219MaRDI QIDQ1269047

Sergey I. Agafonov

Publication date: 5 August 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.5357

zbMATH Keywords

reducibilitymultiple characteristicsscalar Monge-Ampère type equation of the third-order

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Degenerate hyperbolic equations (35L80)

Related Items (7)

Note on generic singularities of planar flat 3-webs ⋮ Duality for systems of conservation laws ⋮ Systems of conservation laws in the setting of the projective theory of congruences: reducible and linearly degenerate systems. ⋮ Flat 3-webs via semi-simple Frobenius 3-manifolds ⋮ WDVV equations and invariant bi-Hamiltonian formalism ⋮ On implicit ODEs with hexagonal web of solutions ⋮ Local classification of singular hexagonal 3-webs with holomorphic Chern connection form and infinitesimal symmetries

Cites Work

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• Exceptionality condition and linearization procedure for a third order nonlinear PDE
• The associativity equations in the two-dimensional topological field theory as integrable Hamiltonian nondiagonalizable systems of hydrodynamic type
• On integrability of \(3 \times{}3\) semi-Hamiltonian hydrodynamic type systems \(u_ t^ i = v_ j^ i (u) u_ x^ j\) which do not possess Riemann invariants
• Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants
• Systems of Conservation Laws with Invariant Submanifolds

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