The present paper solves completely the problem of the Lie group analysis of nonlinear equation
u
t
(
x,
t) +
g(
u)
u
x
(
x,
t) = 0, where
g(
u) is a smooth function of
u. And apply these results on inviscid Burgers equation.
Keywords. Lie group analysis - Burgers equation - Symmetry group