On the structure of integrable \({\mathcal C}\)-fields

DOI10.1016/0926-2245(91)90011-WzbMath0782.58054WikidataQ115362850 ScholiaQ115362850MaRDI QIDQ1311941

Vladimir N. Chetverikov

Publication date: 21 January 1994

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

integrabilitypartial differential equationsjet spacesinfinitesimal symmetries

Mathematics Subject Classification ID

Jets in global analysis (58A20) Deformations of general structures on manifolds (58H15) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (12)

Coverings and pseudosymmetries of differential equations ⋮ Liouville systems and symmetries ⋮ Coverings and integrable pseudosymmetries of differential equations ⋮ Geometry of jet spaces and integrable systems ⋮ The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs ⋮ Invertible linear ordinary differential operators ⋮ Symmetries, coverings, and decomposition of systems and trajectory generation ⋮ Coverings and multivector pseudosymmetries of differential equations ⋮ The Lie group in infinite dimension ⋮ Secondary calculus and the covariant phase space ⋮ Covering method for trajectory generation and orbital decomposition of systems ⋮ Orbital decompositions and integrable pseudosymmetries of control systems

Cites Work

• Local symmetries and conservation laws
• Geometry of nonlinear differential equations
• On derivative dependent infinitesimal deformations of differentiable maps
• Symmetries and conservation laws of 2-dimensional ideal plasticity
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