title: Spatiotemporal accessible solitons in fractional dimensions.
abstract: We report solutions for solitons of the "accessible" type in globally nonlocal nonlinear media of fractional dimension (FD), viz., for self-trapped modes in the space of effective dimension 2<D≤3 with harmonic-oscillator potential whose strength is proportional to the total power of the wave field. The solutions are categorized by a combination of radial, orbital, and azimuthal quantum numbers (n,l,m). They feature coaxial sets of vortical and necklace-shaped rings of different orders, and can be exactly written in terms of special functions that include Gegenbauer polynomials, associated Laguerre polynomials, and associated Legendre functions. The validity of these solutions is verified by direct simulations. The model can be realized in various physical settings emulated by FD spaces; in particular, it applies to excitons trapped in quantum wells.
authors: Department of Electronic and Information Engineering, Shunde Polytechnic, Guangdong Province, Shunde 528300, China.|Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar.
authors: Wei-Ping
authors: WP
authors: Zhong
authors: Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar.
authors: Milivoj R
authors: MR
authors: Belić
authors: Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel.|Laboratory of Nonlinear-Optical Informatics, ITMO University, St. Petersburg 197101, Russia.
authors: Boris A
authors: BA
authors: Malomed
authors: Key Laboratory for Physical Electronics and Devices of the Ministry of Education & Shaanxi Key Lab of Information Photonic Technique, Xi'an Jiaotong University, Xi'an 710049, China.
authors: Yiqi
authors: Y
authors: Zhang
authors: Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar.
authors: Tingwen
authors: T
authors: Huang