Effective mass schrödinger equation for exactly solvable class of one-dimensional potentials

We deal with the exact solutions of Schrödinger equation characterized by position-dependent effective mass via point canonical transformations. The Morse, Pöschl-Teller, and Hulthén type potentials are considered, respectively. With the choice of position-dependent mass forms, exactly solvable target potentials are constructed. Their energy of the bound states and corresponding wavefunctions are determined exactly.