  We reconsider, in five-dimensional space-time, the issue of thick brane
localized in the extra dimension by a kink formed by a scalar field. The
localization is achieved by a sine-Gordon potential. Apart from a fundamental
brane (discovered by Koley and Kar \cite{koley_kar}) where the scalar field is
a monotonic function of the extra dimension), we show that a series of new
solutions exist as well, labelled by the number of zeros of the scalar field.
These solutions are regular, localized on the brane and mirror symmetric with
respect to the extra dimension. They form a tower of "excited branes". The
study of some perturbations of the solutions reveals that the new solutions are
not stable. Finally, fermions are coupled to the scalar field by means of a
Yukawa potential and their localization in the background of the new solutions
is examined. %%The influence on the new solutions on the fermions on the brane
is investigated. It turns out that the excited branes can localize left and
right chiral fermion either on the brane and/or in the bulk but close to the
brane.
