Geodesic
Correspondences between Jet Spaces and PDE Systems
Journal of Lie theory, Tome 15 (2005) no. 1, pp. 197-218 Cet article a éte moissonné depuis la source Heldermann Verlag

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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.
Classification : 58A20, 35A30
Mots-clés : Jet, Lie correspondence, system of partial differential equations, involutive system, intermediate integral, Lie system 
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     author = {S. Jim�nez and J. Mu�oz and J. Rodr�guez },
     title = {Correspondences between {Jet} {Spaces} and {PDE} {Systems}},
     journal = {Journal of Lie theory},
     pages = {197--218},
     year = {2005},
     volume = {15},
     number = {1},
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S. Jim�nez; J. Mu�oz; J. Rodr�guez . Correspondences between Jet Spaces and PDE Systems. Journal of Lie theory, Tome 15 (2005) no. 1, pp. 197-218. http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a12/