The fractional dimensional spatiotemporal accessible solitons supported by PT-symmetric complex potential. (English) Zbl 1367.35061
Summary: Using the separation variable technique, the properties of localized accessible soliton family supported by a parity-time (PT) symmetric complex potential in fractional dimension (FD) \(2<D\leq 3\) are investigated in strongly nonlocal nonlinear media. Analytical solution of the FD Schrödinger equation in the limit of strongly nonlocal nonlinearity, given in terms of the generalized Laguerre and the Gegenbauer polynomials in spherical coordinates, is obtained. Some dynamical characteristics of the accessible solitons and a specific angular expression, such as the spatiotemporal distribution, the angular distribution and external profiles of the analytical solution, are displayed for some peculiar quantum numbers. We expect that the FD accessible solitons will find various applications in science and technology in the future.
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