Тип публикации: статья из журнала
Год издания: 2017
Идентификатор DOI: 10.17377/semi.2017.14.089
Ключевые слова: integrable systems, SKEW fields, Formal pseudodifferential operators, Ore extensions
Аннотация: We investigate algebraic properties of weakly commutative triples, appearing in the theory of integrable nonlinear partial differential equations. Algebraic technique of skew fields of formal pseudodifferential operators as well as skew Ore fields of fractions are applied to this problem, relating weakly commutative triples to commПоказать полностьюuting elements of skew Ore fields of formal fractions of ordinary differential operators. A version of Burchnall-Chaundy theorem for weakly commutative triples is proved by algebraic means avoiding analytical complications typical for its proofs known in the theory of integrable equations.
Журнал: Сибирские электронные математические известия
Выпуск журнала: Т.14
Номера страниц: 1050-1063
ISSN журнала: 18133304
Место издания: Новосибирск
Издатель: Институт математики им. С.Л. Соболева СО РАН