On Integration of One Class of Systems of Lax-Type Equations

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2015
• Main Authors: Lunyov, A.A., Oliynyk, E.V.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/117983
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Integration of One Class of Systems of Lax-Type Equations / A.A. Lunyov, E.V. Oliynyk // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 1. — С. 45-62— Бібліогр.: 7 назв. — англ.

A nonlinear system of Lax-type equations is studied. The system is the basis of the construction of triangular models for commutative systems of linear non-selfadjoint bounded operators. Some of its solutions for n = 4 are described. In one of the cases, the general solution is explicitly expressed...