Geodesic
Darboux integrability of planar polynomial systems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 271-284

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that a polynomial system with Cauchy–Riemann conditions has Darboux integral which may be derived without quadratures. We give classes of such systems which have the rational first integral.
Keywords: Darboux integrability, the first integrals, the rational first integrals. 
@article{SEMR_2013_10_a46,
     author = {E. P. Volokitin},
     title = {Darboux integrability of planar polynomial systems},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {271--284},
     publisher = {mathdoc},
     volume = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2013_10_a46/}
}
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E. P. Volokitin. Darboux integrability of planar polynomial systems. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 271-284. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a46/