Volume 121, Number 3, February 2018
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||05 April 2018|
Vector matter waves in two-component Bose-Einstein condensates with spatially modulated nonlinearities
1 The School of Electronic and Information Engineering, HuBei University of Science and Technology Xianning 437100, China
2 Institute of Physics Belgrade, University of Belgrade - Pregrevica 118, 11080 Zemun, Serbia
3 Science Program, Texas A&M University at Qatar - P.O. Box 23874 Doha, Qatar
Received: 19 November 2017
Accepted: 15 March 2018
We demonstrate three-dimensional (3D) vector solitary waves in the coupled (3 + 1)-D nonlinear Gross-Pitaevskii equations with variable nonlinearity coefficients. The analysis is carried out in spherical coordinates, providing novel localized solutions that depend on three modal numbers, l, m, and n. Using the similarity transformation (ST) method in 3D, vector solitary waves are built with the help of a combination of harmonic and trapping potentials, including multipole solutions and necklace rings. In general, the solutions found are stable for low values of the modal numbers; for values larger than 2, the solutions are found to be unstable. Variable nonlinearity allows the utilization of soliton management methods.
PACS: 42.65.Tg – Optical solitons; nonlinear guided waves / 05.45.Yv – Solitons
© EPLA, 2018
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