In this article, we investigate the (2+1) -dimensional damping forcing coupled Burgers equation, which is obtain by adding damping and forcing terms from couple Burgers equation. The Lax pair of the (2+1) -dimensional damping forcing coupled Burgers equation is establised. With the help of Lax pair, we derive the N-fold Darboux transformation of (2+1) -dimensional damping forcing coupled Burgers equation. Using one fold and two fold Darboux transformation, we demostrated some wave solutions including solitary wave solution and periodic wave solution. The impact of damping and forcing terms in solitary wave solution and periodic solution is graphically demostrated.
Chatterjee et al. (Tue,) studied this question.