Generalised symmetries of partial differential equations via complex transformations

DOI10.1017/S0004972700039630zbMath1133.58028OpenAlexW2099348188MaRDI QIDQ5438363

Fabrizio Pugliese, Gianni Manno, Diego Catalano Ferraioli

Publication date: 23 January 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700039630

zbMATH Keywords

complexificationPDEsgeneralized symmetries

Mathematics Subject Classification ID

Jets in global analysis (58A20) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Holomorphic maps on manifolds (58C10) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Cites Work

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• Quelques propriétés fondamentales des ensembles analytiques-réels
• Local symmetries and conservation laws
• On complexifications of differentiable manifolds
• Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects.
• Vacuum Einstein metrics with bidimensional Killing leaves. I: Local aspects.
• Symmetries and differential equations

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