  If we consider a q-analogue of linear differential equation, Galoois group of
the q-analogue difference equation is still a linear algebraic group. Namely,
by a quantization of linear differential equation, Galois group is not
quantized. We show by Examples that if we consider non-linear equations Galois
group is quantized. The results depend on general differential Galois theory
for non-linear differential equations developed by the second author.
