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Invariants of multi-parameter approximate transformation groups.

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Publication:1399343
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DOI10.1016/S0022-247X(03)00142-2zbMath1035.35004MaRDI QIDQ1399343

Yulia Yurievna Bagderina

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

approximate Lie algebra criterionfunctionally independent invariants


Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Linear first-order PDEs (35F05) Geometric theory, characteristics, transformations in context of PDEs (35A30)


Related Items (1)

Integration of systems of ordinary differential equations with a small parameter which admit approximate Lie algebras



Cites Work

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  • Perturbation methods in group analysis
  • Representation of general invariants for approximate transformation groups
  • Approximate first integrals of a galaxy model
  • Approximate symmetries and conservation laws with applications
  • Approximate conditional symmetries for partial differential equations
  • Approximate potential symmetries for partial differential equations
  • Symmetry-based algorithms to relate partial differential equations: I. Local symmetries




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