Journal of Lie Theory

no. 1
Correspondences between Jet Spaces and PDE Systems
Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 197-218
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.
DOI: 10.5802/jolt.368
Classification: 58A20, 35A30
Keywords: Jet, Lie correspondence, system of partial differential equations, involutive system, intermediate integral, Lie system 
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     author = {S. Jim\'enez and J. Mu\~noz and J. Rodr{\'\i}guez},
     title = {Correspondences between {Jet} {Spaces} and {PDE} {Systems}},
     journal = {Journal of Lie Theory},
     pages = {197--218},
     year = {2005},
     volume = {15},
     number = {1},
     doi = {10.5802/jolt.368},
     zbl = {1126.58002},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.368/}
}
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S. Jiménez; J. Muñoz; J. Rodríguez. Correspondences between Jet Spaces and PDE Systems. Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 197-218. doi: 10.5802/jolt.368

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