Lax integrable higher dimensional Burgers systems via a deformation algorithm and conservation laws

How to obtain higher-dimensional integrable systems from lower ones is a hot topic deserving deeply consideration. Recently, a deformation algorithm with the help of different conservation laws proposed by Lou, Hao and Jia has been applied to establish some higher-dimensional nonlinear systems. In this paper, the method is mainly used to establish the (2+1)-dimensional Burgers equation and higher-dimensional Burgers systems. The Lax pairs, integrable Burgers hierarchy, Lie point symmetries and kink soliton solutions are also investigated.