Geodesic
Infinitesimal classification of systems of two PDE of first order
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 6, Tome 279 (2001), pp. 61-69

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Systems of two PDE of the first order with respect to two functions of two variables are considered. A classification of symbols of such systems with respect to the natural action of the group of local changes of dependable and independent variables is given. 
@article{ZNSL_2001_279_a3,
     author = {S. V. Duzhin},
     title = {Infinitesimal classification of systems of two {PDE} of first order},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {61--69},
     publisher = {mathdoc},
     volume = {279},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a3/}
}
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S. V. Duzhin. Infinitesimal classification of systems of two PDE of first order. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 6, Tome 279 (2001), pp. 61-69. http://geodesic.mathdoc.fr/item/ZNSL_2001_279_a3/