Сибирский федеральный университет

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 commuting 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

• ЦАРЕВ С.П. (Sobolev Institute of Mathematics)
• СТЕПАНЕНКО В.А. (Siberian Federal University)

• Ядро РИНЦ (eLIBRARY.RU)