S. K. Kuizheva, “On some partial differential equations generated by commuting linear differential operators”, News of the Kabardin-Balkar scientific center of RAS, 2002, no. 1, 28

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News of the Kabardin-Balkar scientific center of RAS, 2002, Issue 1, Pages 28–30 (Mi izkab811)

MATHEMATICS

On some partial differential equations generated by commuting linear differential operators

S. K. Kuizheva

Institute of Applied Mathematics and Automation, Nalchik

Full-text PDF (1073 kB)

Abstract: A theorem on the commutator of operators from the ring of linear partial differential operators of arbitrary order is proved and various differential equations are written, which in a certain sense are equivalent to the Lax equation.

Keywords: linear differential operator, operator commutator, operator ring

Bibliographic databases:

Document Type: Article

UDC: 517.946

Language: Russian

Citation: S. K. Kuizheva, “On some partial differential equations generated by commuting linear differential operators”, News of the Kabardin-Balkar scientific center of RAS, 2002, no. 1, 28–30

Citation in format AMSBIB

\Bibitem{Kui02}

\by S.~K.~Kuizheva

\paper On some partial differential equations generated by commuting linear differential operators

\jour News of the Kabardin-Balkar scientific center of RAS

\yr 2002

\issue 1

\pages 28--30

\mathnet{http://mi.mathnet.ru/izkab811}

\edn{https://elibrary.ru/TYLKLJ}

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https://www.mathnet.ru/eng/izkab/y2002/i1/p28

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