  In this paper we propose a model of the fractional quantum Hall effect within
conventional one-dimensional bosonization. It is shown that in this formalism
the resulting bosonized fermion operator corresponding to momenta of Landau
gauge wave function is effectively two-dimensional. At special filling factors
the bulk gets gapped, and the theory is described by a sine-Gordon model. The
edges are shown to be gapless, chiral, and carrying a fractional charge. The
hierarchy of obtained fractional charges is consistent with existing
experiments and theories. It is also possible to draw a connection to composite
fermion description and to the Laughlin many-body wave function.
