Some new cohomological invariants for nonlinear differential equations

DOI10.1016/0926-2245(92)90001-4zbMath0765.58028OpenAlexW2046649671WikidataQ115362783 ScholiaQ115362783MaRDI QIDQ1207167

I. S. Krasil'shchik

Publication date: 23 May 1993

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

Full work available at URL: https://doi.org/10.1016/0926-2245(92)90001-4

zbMATH Keywords

nonlinear differential equationscohomologyspectral sequencesdeformationssymmetriesFrölicher-Nijenhuis bracket

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Differential complexes (58J10) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (11)

From symmetries of partial differential equations towards secondary (``quantized) calculus ⋮ Graded differential equations and their deformations: A computational theory for recursion operators ⋮ Differential geometric computations and computer algebra ⋮ On the Vinogradov \({\mathcal C}\)-spectral sequence for determined systems of differential equations ⋮ On symmetries and cohomological invariants of equations possessing flat representations ⋮ Integrability in differential coverings ⋮ Variational Poisson-Nijenhuis structures for partial differential equations ⋮ Algebraic theories of brackets and related (co)homologies ⋮ On the spectral parameter problem ⋮ Secondary calculus and the covariant phase space ⋮ Bi-Hamiltonian structure of the \(N=2\) supersymmetric \(\alpha=1\) KdV hierarchy

Cites Work

• Homological method of computing invariants of systems of differential equations
• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory
• Overdetermined systems of linear partial differential equations
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