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.
|Original language||English (US)|
|Number of pages||19|
|Journal||Ukrainian Mathematical Journal|
|State||Published - Jul 1 2015|
All Science Journal Classification (ASJC) codes