The residual symmetry of the ()-dimensional coupled Burgers equation

By means of the standard truncated Painlevé expansion, we derive the residual symmetry of the ( 2 + 1 )-dimensional coupled Burgers equation. This kind of the residual symmetry is localized in the properly prolonged system with the Lie point symmetry vector. Based on these obtained symmetries, some different transformation invariances are derived. Furthermore, the reduction solution (especially the interactive solution) is obtained with the help of a generalized tanh-function expansion approach.