Geodesic
Extension of differential substitutions
Izvestiya. Mathematics , Tome 44 (1995) no. 2, pp. 415-426.

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

A classification is given for differential substitutions admitted by autonomous evolution differential equations of second order with two independent variables. Extension of differential substitutions is presented as a generalization of the Painlevé test for partial differential equations. Extensions for the equations under study are classified. 
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S. V. Khabirov. Extension of differential substitutions. Izvestiya. Mathematics , Tome 44 (1995) no. 2, pp. 415-426. http://geodesic.mathdoc.fr/item/IM2_1995_44_2_a11/

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