Moving coframes and symmetries of differential equations

DOI10.1088/0305-4470/35/12/317zbMath1040.35003arXivmath-ph/0105022OpenAlexW2046531907MaRDI QIDQ4465605

Oleg I. Morozov

Publication date: 9 June 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0105022

zbMATH Keywords

contact transformationLie pseudo-groupsymmetry of differential equationKhokhlov-Zabolotskaya equationCartan equivalence methodequivalence of classes of PDEshort wave gas dynamics equation

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Exterior differential systems (Cartan theory) (58A15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (13)

Moving frames ⋮ Equivalence conditions and invariants for the general form of Burgers' equations ⋮ Contact-equivalence problem for linear hyperbolic equations ⋮ The generating set of the differential invariant algebra and Maurer-Cartan equations of a (2+1)-dimensional Burgers equation ⋮ Contact integrable extensions and differential coverings for the generalized \((2 + 1)\)-dimensional dispersionless Dym equation ⋮ Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras ⋮ A recursion operator for the universal hierarchy equation via Cartan's method of equivalence ⋮ Cartan's structure theory of symmetry pseudo-groups, coverings and multi-valued solutions for the Khokhlov-Zabolotskaya equation ⋮ Coverings of differential equations and Cartan's structure theory of Lie pseudo-groups ⋮ Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations ⋮ Cartan's structure of symmetry pseudo-group and coverings for the \(r\)-th modified dispersionless Kadomtsev-Petviashvili equation ⋮ Recursive moving frames for Lie pseudo-groups ⋮ The four-dimensional Martínez Alonso-Shabat equation: differential coverings and recursion operators

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