Integrability Analysis of a Two-Component Burgers-Type Hierarchy

• Date: 2015
• Main Authors: Blackmore, D., Özçağ, E., Prykarpatsky, A. K., Soltanov, K. N., Блекмор, Д., Озчаг, Е., Прикарпатський, А. К., Солтанов, К. Н.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1970
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...