The deformation theory for the solutions of BBM equation and generalized B-
BBM equation and homogenous balance methods (HBM) for B-BBM equation are st
udied. The authors propose a new class of deformation formula which can pro
duce the exact explicit solutions of generalized B-BBM equation by deformin
g the known solution of BBM equation. This paper concludes with an elementa
ry example. As a byproduct, another class of deformation relation(called hy
brid) is obtained.