In this letter, we paint out that if there is a (2+1)-dimensional exte
nsion of the KdV equation, then we can get a corresponding (2+1)-dimen
sional sine-Gordon (SG) or sinh-Gordon (SHG) extension which is relate
d to the negative flow equation of the KdV extension. The (2+1)-dimens
ional SG (or SHG) extensions related to the KP, breaking soliton and N
izhnik-Novikov-Veselov equations are known in literature while the (21)-dimensional SHG extension related to the negative how equation of t
he Boiti-Leon-Manna-Pempinelli (BLMP) equation is obtained in this let
ter thanks to the Schwartz form of the BLMP equation being conformal i
nvariant.