Тип публикации: статья из журнала
Год издания: 2016
Идентификатор DOI: 10.1134/S0040577916110052
Ключевые слова: compatibility of differential equations, reduction, infinite-dimensional manifold, Grobner basis
Аннотация: 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 infinite jets. We develop a technique foПоказать полностьюr studying the compatibility of differential systems analogous to the Grobner bases. Using certain assumptions, we prove that compatible systems generate infinite manifolds.
Журнал: THEORETICAL AND MATHEMATICAL PHYSICS
Выпуск журнала: Vol. 189, Is. 2
Номера страниц: 1592-1608
ISSN журнала: 00405779
Место издания: NEW YORK
Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER