  In this study the tachyon-like Dirac equation, formulated by Chodos to
describe superluminal neutrino, is solved. The analytical solutions are
Gaussian wave packets obtained using the envelope method. It is shown that the
superluminal neutrino behaves like a pseudo-tachyon, namely a particle with
subluminal velocity and pure imaginary mass that fulfils the energy-momentum
relation typical of classical tachyons. The obtained results are used to prove
that the trembling motion of the particle position around the median, known as
Zitterbewegung, also takes place for the superluminal neutrino, even if the
oscillation velocity is always lower than the speed of light. Finally, the
pseudo-tachyon wave packet is used to calculate the probability of oscillation
between mass states, obtaining a formula analogous to the one obtained for the
ordinary neutrino. This suggest that in the experiments concerning neutrino
oscillation is not possible to distinguish tachyonic neutrinos from ordinary
ones.
