Conservation laws and the variational bicomplex for second-order scalar hyperbolic equations in the plane

DOI10.1007/BF00996109zbMath0848.58043OpenAlexW1518201119MaRDI QIDQ1903559

Ian M. Anderson, Niky Kamran

Publication date: 11 December 1995

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00996109

zbMATH Keywords

conservation lawscohomologyvariational bicomplexsecond-order scalar hyperbolic equation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Geometric theory, characteristics, transformations in context of PDEs (35A30) Hyperbolic equations on manifolds (58J45)

Related Items (5)

Conservation laws and the variational bicomplex for second-order scalar hyperbolic equations in the plane ⋮ On diffeologies from infinite dimensional geometry to PDE constrained optimization ⋮ A Kadomtsev-Petviashvili hierarchy driven by equation manifolds ⋮ On the cohomology of the invariant Euler--Lagrange complex ⋮ Multidimensional partial differential equation systems: Generating new systems via conservation laws, potentials, gauges, subsystems

Cites Work

• On variation bicomplexes associated to differential equations
• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory
• Compatibility of systems of super differential equations
• Characteristic cohomology of differential systems. II: Conservation laws for a class of parabolic equations
• Conservation laws and the variational bicomplex for second-order scalar hyperbolic equations in the plane
• Characteristic Cohomology of Differential Systems (I): General Theory
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