Geometric construction and properties of some families of solutions of nonlinear partial differential equations. I

DOI10.1063/1.525748zbMath0521.58063OpenAlexW1999478925WikidataQ115332505 ScholiaQ115332505MaRDI QIDQ3670254

Robert Hermann

Publication date: 1983

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525748

zbMATH Keywords

Monge-Ampere equationMACSYMALagrange-Vessiot submersionsymbolic computation systems of Cartan

Mathematics Subject Classification ID

Applications of PDEs on manifolds (58J90) Exterior differential systems (Cartan theory) (58A15)

Related Items (3)

Torus knots and polynomial invariants for a class of soliton equations ⋮ Coupled systems of nonlinear wave equations and finite-dimensional Lie algebras. I ⋮ The Lagrange-Charpit theory of the Hamilton-Jacobi problem

Uses Software

• MACSYMA

Cites Work

• E. Cartan's geometrie theory of partial differential equations
• The differential geometric structure of general mechanical systems from the Lagrangian point of view
• The second variation for variational problems in canonical form
• Overdetermined systems of linear partial differential equations

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