  Point canonical transformation (PCT) has been used to find out new exactly
solvable potentials in the position-dependent mass (PDM) framework. We solve
$1$-D Schr\"{o}dinger equation in the PDM framework by considering two
different fairly generic position-dependent masses $ (i) M(x)=\lambda g'(x)$
and $(ii) M(x) = c \left( {g'(x)} \right)^\nu $, $\nu =\frac{2\eta}{2\eta+1},$
with $\eta= 0,1,2\cdots $. In the first case, we find new exactly solvable
potentials that depend on an integer parameter $m$, and the corresponding
solutions are written in terms of $X_m$-Laguerre polynomials. In the latter
case, we obtain a new one parameter $(\nu)$ family of isochronous solvable
potentials whose bound states are written in terms of $X_m$-Laguerre
polynomials. Further, we show that the new potentials are shape invariant by
using the supersymmetric approach in the framework of PDM.
