Localized structures of the (3+1)-dimensional nonlinear Schrödinger equation with different diffractions and power-law nonlinearities in PT-symmetric potentials

Abstract

We study a (3+1)-dimensional variable-coefficient nonlinear Schrodinger equation with different diffractions and power-law nonlinearity in PT-symmetric potentials. Considering different PT-symmetric potentials, we obtain two kinds of analytical sech-type localized soliton solutions. From these solutions, we analytically discuss the powers and power-flow densities. Moreover, we study compression and expansion of localized structures in the periodic distributed amplification system.