Finite symmetry transformation group and localized structures of (2+1)-dimensional coupled Burgers equation

In this paper, the finite symmetry transformation group of the (2+1)-dimensional coupled Burgers equation is studied by the modified direct method, and with the help of the truncated Painlevé expansion approach, some special types of localized structure for the (2+1)-dimensional coupled Burgers equation are obtained, especially, the dromion-like and solitoff-like structures.