Journal of Lie TheoryVol. 15, No. 1, pp. 197–218 (2005)
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Journal of Lie Theory Vol. 15, No. 1, pp. 197–218 (2005) |
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Correspondences between Jet Spaces and PDE SystemsSonia Jiménez, Jesús Muñoz, and Jesús RodríguezSonia Jiménez,Jesús Muñoz, and Jesús Rodríguez Mathematics Department University of Salamanca Plaza de la Merced 1-4 E-37008 Salamanca (Spain) sjv@usal.es, resp., clint@usal.es, resp., jrl@usal.es Abstract: Following some of Lie's ideas, we define between jet spaces canonical correspondences which allow us to associate with each first order PDE system another one with a single unknown function which contains as solutions that of the original system as well as its intermediate integrals. We also show for some systems of PDE that their integration is equivalent to that of their associated ones. Keywords: jet, Lie correspondence, system of partial differential equations, involutive system, intermediate integral, Lie system Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 26 Aug 2004. This page was last modified: 4 Jun 2010.
© 2004 Heldermann Verlag
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