On a generalization of Monge-Ampère equations and Monge-Ampère systems

DOI10.3836/tjm/1502179374zbMath1518.58003arXiv2008.10203OpenAlexW3080751306MaRDI QIDQ6116786

Kazuhiro Shibuya, Masahiro Kawamata

Publication date: 18 July 2023

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10203

zbMATH Keywords

Monge-Ampère equationjet spaceexterior differential systemMonge-Ampère system

Mathematics Subject Classification ID

Pfaffian systems (58A17) Exterior differential systems (Cartan theory) (58A15)

Cites Work

• Meta-symplectic geometry of \(3^{\mathrm{rd}}\) order Monge-Ampère equations and their characteristics
• Exceptionality condition and linearization procedure for a third order nonlinear PDE
• Hyperbolic exterior differential systems and their conservation laws. I
• Hyperbolic exterior differential systems and their conservation laws. II
• Geometrization of jet bundles
• E. Cartan's geometrie theory of partial differential equations
• A classification of Monge-Ampère equations
• Integrability of Dispersionless Hirota-Type Equations and the Symplectic Monge–Ampère Property
• Solutions surfaces of Monge-Ampère equations
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