Algebraic and geometric structures of analytic partial differential equations

We study the problem of the compatibility of nonlinear partial differential equations. We introduce the algebra of convergent power series, the module of derivations of this algebra, and the module of Pfaffian forms. Systems of differential equations are given by power series in the space of infinit...

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Veröffentlicht in:	Theoretical and mathematical physics 2016-11, Vol.189 (2), p.1592-1608
1. Verfasser:	Kaptsov, O. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematical and Computational Physics Nonlinear differential equations Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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