  A new method for the Lie group classification of differential equations is
proposed. It is based of the determination of all possible cases of linear
dependence of certain indeterminate appearing in the determining equations of
symmetries of the equation. The method is simple and systematic and applied to
a family of hyperbolic equations. Moreover, as the said family contains several
known equations with important physical applications, low-order conservation
laws of some relevant equations from the family are computed, and the results
obtained are discussed with regard to the symmetry integrability of a
particular class from the underlying family of hyperbolic equations.
