  We present a complete algebraic classification of the Lie symmetries for
generalized Zoomeron equations. For the generalized 1+1 and 2+1 Zoomeron
equations we solve the Lie symmetry conditions in order to constrain the free
functions of the equations. We find that the differential equations of our
consideration admit the same number of Lie symmetries with the non-generalized
equations. The admitted Lie symmetries form the Lie algebras $2A_{1}$,
$A_{3,3}$ $\ $for the 1+1 generalized Zoomeron equation, and the $%
A_{4,5}^{ab}\,$, $3A_{1}\otimes _{s}2A_{1}$ in the case of the 2+1 generalized
Zoomeron equation. The one-dimensional optimal system is constructed for the
two equations and similarity solutions are derived.\ The similarity
transformation lead to the derivation of kink solutions. Indeed, the similarity
exact solutions determined in this work are asymptotic solutions near to the
singular behaviour of the kink behaviour.
