  Dirac fermions in graphene may experiment dispersive pseudo-Landau levels due
to a homogeneous pseudomagnetic field and a position-dependent Fermi velocity
induced by strain. In this paper, we study the (semi-classical) dynamics of
these particles under such a physical context from an approach of coherent
states. For this purpose we use a Landau-like gauge to built Perelomov coherent
states by the action of a non-unitary displacement operator $D(\alpha)$ on the
fundamental state of the system. We analyze the time evolution of the
probability density and the generalized uncertainty principle as well as the
Wigner function for the coherent states. Our results show how $x$-momentum
dependency affects the motion periodicity and the Wigner function shape in
phase space.
