Classes of Bianchi equations of third order

DOI10.1134/S0001434613090083zbMath1284.35030MaRDI QIDQ2436372

A. N. Mironov

Publication date: 24 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Lie algebraLiouville equationdetermining equationsEuler-Poisson equationLaplace invariant

Mathematics Subject Classification ID

Higher-order hyperbolic equations (35L25) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

On Laplace invariants for equations with dominating third-order partial derivative and two independent variables ⋮ Darboux problem for the third-order Bianchi equation ⋮ Laplace invariants of an equation with a dominating partial derivative and three independent variables ⋮ Construction of the Riemann-Hadamard function for the three-dimensional Bianchi equation

Cites Work

• Construction of the Riemann function for the Bianchi equation in an \(n\)-dimensional space
• On the three-dimensional Riemann function
• Laplace invariants for some classes of linear partial differential equations
• The solvability of hyperbolic equations in quadratures
• On the canonical forms of third-order partial differential equations
• Group analysis of ordinary differential equations and the invariance principle in mathematical physics (for the 150th anniversary of Sophus Lie)
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