Integrability Analysis of a Two-Component Burgers-Type Hierarchy

• Published in: Український математичний журнал
• Date: 2015
• Main Authors: Blackmore, D., Prykarpatsky, A.K., Özçağ, E., Soltanov, K.N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165437
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Integrability Analysis of a Two-Component Burgers-Type Hierarchy / D. Blackmore, E. Özçağ, A.K. Prykarpatsky, K.N. Soltanov // Український математичний журнал. — 2015. — Т. 67, № 2. — С. 147–162. — Бібліогр.: 39 назв. — англ.

The Lax integrability of a two-component polynomial Burgers-type dynamical system is analyzed by using a differential-algebraic approach. Its linear adjoint matrix Lax representation is constructed. A related recursive operator and an infinite hierarchy of nonlinear Lax integrable dynamical systems...