Manipulating two-dimensional solitons in inhomogeneous nonlinear Schrodinger equation with power-law nonlinearity under PT-symmetric Rosen-Morse and hyperbolic Scarff-II potentials

We construct two-dimensional soliton solutions for the inhomogeneous nonlinear Schrodinger (NLS) equation with power-law nonlinearity in two different types of parity-time (PT )-symmetric potentials, namely Rosen-Morse and hyperbolic Scarff-II potentials, through a similarity transformation. In each case, following three different kinds of dispersion parameters are considered: (i) exponential, (ii) periodic, and (iii) hyperbolic. We investigate the impact on the dynamical characteristics of solitons by varying the strengths of the inhomogeneity parameter. We also analyse the intensity variations of solitons at different propagation distances for three distinct dispersion profiles. Further, we observe that the intensity distribution of solitons stretches in space and that the width of it increases as the value of the power-law nonlinearity parameter increases. Our findings reveal that the obtained soliton solutions can be managed with the help of the strengths of both PT-symmetric potentials and dispersion parameters.