  The intertwining relations between superpartner Hamiltonians are the main
ingredients of well known Supersymmetrical Quantum Mechanics (SUSY QM). In the
present paper, the generalized form of intertwining is used for investigation
of a massless (zero energy) two-dimensional Dirac equation with scalar external
potential. This equation is related to the description of graphene and some
other materials in the field of external electrostatic potential. The use of
modified intertwining relations allows to find analytically solutions for the
wave functions in the field of some external scalar potentials which depend on
both space coordinates. A few examples of this construction are given
explicitly.
