Abstract

The 3D cubic and power-law nonlinear Schrödinger equations with different coefficients of dispersion/diffraction is presented in parity-time symmetric potentials, and their optical soliton solutions are analytically discovered after the accurate and optimal balance among various effects. As special examples, analytical soliton solutions considering cubic–quintic, cubic–septimal and quintic–septimal nonlinearities are revealed. In order to analyze their dynamic properties more clearly, graphical representations of each solution are presented.

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