An integrable system of partial differential equations on the special linear group

DOI10.1017/S1446181100007938zbMath1066.35009OpenAlexW2034353461MaRDI QIDQ3146197

Peter J. Vassiliou

Publication date: 2002

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181100007938

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Analysis on real and complex Lie groups (22E30) Geometric theory, characteristics, transformations in context of PDEs (35A30) Analysis on other specific Lie groups (43A80) First-order hyperbolic systems (35L40)

Cites Work

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• Topological methods in hydrodynamics
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• Symmetry and ordinary differential constraints
• Hyperbolic exterior differential systems and their conservation laws. I
• Vessiot structure for manifolds of $(p,q)$-hyperbolic type: Darboux integrability and symmetry
• Tangential characteristic symmetries and first order hyperbolic systems