2017
Том 69
№ 7

All Issues

Integrability Analysis of a Two-Component Burgers-Type Hierarchy

Blackmore D. L., Özçağ E., Prikarpatskii A. K., Soltanov K. N.


Abstract

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 of the Burgers–Korteweg–de-Vries type are obtained by the gradient-holonomic technique. The corresponding Lax representations are presented.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 2, pp 167-185.

Citation Example: Blackmore D. L., Özçağ E., Prikarpatskii A. K., Soltanov K. N. Integrability Analysis of a Two-Component Burgers-Type Hierarchy // Ukr. Mat. Zh. - 2015. - 67, № 2. - pp. 147-162.