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In this paper, we study the exact solutions of the one-dimensional Benjamin-Bona-Mahony-Burgers(BBMB for short) equation
ut + 2auux+buxx+cuxxt=0,
where a,b,c are constants) and the two-dimensional Benjamin-Bona-Mahony-
Burgers (2D-BBMB for short) equation
(ut + 2ouux + buxx + cuxxt)x + duy=0,
where a,b,c,d are constants, by applying the square Hopf-Cole transform and the Painleve property.
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