Laplace Transformation of Lie Class ω = 1 Overdetermined Systems

DOI10.1142/S1402925111001805zbMath1243.35007arXiv1108.5852MaRDI QIDQ3117942

Boris S. Kruglikov

Publication date: 1 March 2012

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

Full work available at URL: https://arxiv.org/abs/1108.5852

zbMATH Keywords

integrabilitycharacteristic varietyreduction to ordinary differential equations

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Overdetermined systems of PDEs with constant coefficients (35N05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (2)

Generalized Lie-Bäcklund theorem for Lie class overdetermined systems ⋮ Symmetry, compatibility and exact solutions of PDEs

Cites Work

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• Criteria for fourth-order ordinary differential equations to be linearizable by contact transformations
• The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane
• Laplace transformation in higher dimensions
• Transformations of Darboux Integrable Systems
• Laplace transformations of hydrodynamic-type systems in Riemann invariants: Periodic sequences
• Geometry of differential equations
• Overdetermined systems of linear partial differential equations

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