Abstract

We derive analytical spatial soliton solutions of a (2 + 1)-dimensional nonlinear Schrodinger equation with power-law nonlinearity in \(\mathcal {PT}\)-symmetric potentials. The stability of these solutions is tested by the linear stability analysis and the direct numerical simulations. Moreover, some dynamical characteristics of these solutions, such as the phase switch, the power, and the transverse power-flow density, are also examined.

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