On applications of Fa\`a-di-Bruno formula
Ufa mathematical journal, Tome 9 (2017) no. 3, pp. 131-136

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In the work we construct two modifications of the classical Faà-di-Bruno formula. We consider the applications of these formulae in the integrability theory for nonlinear partial differential equations. We discuss the problem on integration by parts in the Gelfand–Olver–Sanders formal variational calculus.
Keywords: differential polynomials, integrability conditions.
Mots-clés : Faà-di-Bruno formula
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A. B. Shabat; M. Kh. Efendiev. On applications of Fa\`a-di-Bruno formula. Ufa mathematical journal, Tome 9 (2017) no. 3, pp. 131-136. http://geodesic.mathdoc.fr/item/UFA_2017_9_3_a12/