On the arbitrariness of the general solution of an involutive partial differential equation

DOI10.1063/1.530739zbMath0803.35143OpenAlexW2038429646WikidataQ115329906 ScholiaQ115329906MaRDI QIDQ4296105

Werner M. Seiler

Publication date: 15 June 1994

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

Full work available at URL: https://publikationen.bibliothek.kit.edu/250494

zbMATH Keywords

Hilbert polynomialgauge symmetriesCartan charactersstrength of a differential equation

Mathematics Subject Classification ID

Related Items (14)

Algebraic Theory of Linear Systems: A Survey ⋮ Arbitrariness of the general solution and symmetries ⋮ Formal analysis of the Cauchy problem for a system associated with the \((2+1)\)-dimensional Krichever-Novikov equation ⋮ Involution analysis for nonlinear exterior differential systems ⋮ Involution and symmetry reductions ⋮ Review of symbolic software for Lie symmetry analysis ⋮ Involution analysis of the partial differential equations characterizing Hamiltonian vector fields ⋮ Under- and overdetermined systems of differential equations ⋮ Arbitrariness of the general solution of the partial differential equations and its applications ⋮ Computer algebra and field theories ⋮ Effective Genericity, δ-Regularity and Strong Noether Position ⋮ Differential invariant algebras of Lie pseudo-groups ⋮ Involutivity of field equations ⋮ The Riemann–Lanczos equations in general relativity and their integrability

Cites Work

• The "Strength" of a System of Differential Equations
• Involutive systems of differential equations: Einstein’s strength versus Cartan’s degré d’arbitraire
• On the strength of Maxwell’s equations
• Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution

This page was built for publication: On the arbitrariness of the general solution of an involutive partial differential equation