Systems of three differential equations of hydrodynamic type with hexagonal 3-web of characteristics on the solution

DOI10.1007/BF01078793zbMath0714.35070MaRDI QIDQ750767

Evgeny V. Ferapontov

Publication date: 1989

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Geometric theory, characteristics, transformations in context of PDEs (35A30) First-order hyperbolic systems (35L40)

Related Items (12)

Bol three-webs with covariantly constant curvature tensor ⋮ Note on generic singularities of planar flat 3-webs ⋮ To curvilinear three-web theory ⋮ Darboux system and separation of variables in the Goursat problem for a third order equation in \(\mathbb{R}^3\) ⋮ Quasilinear systems with linearizable characteristic webs ⋮ Bol three-webs $B_m^{ {\triangledown}}$ with torsion tensor of rank $\rho$ ⋮ On differential-topological classification of curvilinear three-webs ⋮ On implicit ODEs with hexagonal web of solutions ⋮ Darboux system: Liouville reduction and an explicit solution ⋮ Hirota difference equation and Darboux system: mutual symmetry ⋮ On One Class of Solutions of the Darboux System ⋮ Local classification of singular hexagonal 3-webs with holomorphic Chern connection form and infinitesimal symmetries

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