Reduction of exterior differential systems with infinite dimensional symmetry groups
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Publication:943929
DOI10.1007/s10543-008-0177-9zbMath1147.58003OpenAlexW2148713308MaRDI QIDQ943929
Publication date: 12 September 2008
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10543-008-0177-9
Jets in global analysis (58A20) Invariance and symmetry properties for PDEs on manifolds (58J70) Exterior differential systems (Cartan theory) (58A15) Pseudogroups and differentiable groupoids (58H05)
Related Items (5)
GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES ⋮ Group foliation of finite difference equations ⋮ Solutions of second-order PDEs with first-order quotients ⋮ Persistence of freeness for Lie pseudogroup actions ⋮ Invariant discretization of partial differential equations admitting infinite-dimensional symmetry groups
Cites Work
- Algorithms for differential invariants of symmetry groups of differential equations
- Invariants différentiels d'un pseudogroupe de Lie. II
- Moving coframes. II: Regularization and theoretical foundations
- Moving coframes. I: A practical algorithm
- Group invariant solutions without transversality
- Symmetry and integration methods for differential equations
- Invariant Euler--Lagrange equations and the invariant variational bicomplex
- Exterior differential systems with symmetry
- Maurer-Cartan forms and the structure of Lie pseudo-groups
- Differential invariants and group foliation for the complex Monge-Ampère equation
- Maurer–Cartan equations for Lie symmetry pseudogroups of differential equations
- Group foliation and non-invariant solutions of the heavenly equation
- On the Local Theory of Continuous Infinite Pseudo Groups I
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