Differential invariants of generic hyperbolic Monge-Ampère equations

DOI10.2478/s11533-006-0043-4zbMath1133.35407arXivnlin/0604038OpenAlexW2519125616MaRDI QIDQ5920349

Michal Marvan, Valerij A. Yumaguzhin, Alexandre M. Vinogradov

Publication date: 22 October 2007

Published in: Doklady Mathematics, Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0604038

zbMATH Keywords

Monge-Ampère equationcontact transformationscontact transformationscalar differential invariantFrölicher-Nijenhuis bracketgeneric equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Hyperbolic equations on manifolds (58J45)

Related Items (7)

Some remarks on contact manifolds, Monge–Ampère equations and solution singularities ⋮ Differential invariants and operators of invariant differentiation of the projectable action of Lie groups ⋮ Partial extensions of jets and the polar distribution on Grassmannians of non-maximal integral elements ⋮ Scalar differential invariants of symplectic Monge-Ampère equations ⋮ Contact relative differential invariants for non generic parabolic Monge-Ampère equations ⋮ On geometry of second-order parabolic equations in two independent variables ⋮ Differential invariants of generic hyperbolic Monge-Ampère equations

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