A new class of solvable two-dimensional scalar potentials for graphene

In the present paper, a systematic approach is presented for solution of two-dimensional massless Dirac equation with external electrostatic potential applied. This based on new - asymmetric form SUSY-like intertwining relations. It allows to build wide variety pairs SUSY-partner scalar potentials. If one them simple enough be solvable, its partner also solvable although it may have non-trivial dependency both coordinates. Physically, this kind problems related description graphene and some other materials potential. Solvability obtained by means SUSY relations extend class analytically models.