Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation

Abstract

We provide analytical three-dimensional bright multi-soliton solutions to the (3+1)-dimensional Gross-Pitaevskii (GP) equation with time and space-dependent potential, time-dependent nonlinearity, and gain/loss. The zigzag propagation trace and the breathing behavior of solitons are observed. Different shapes of bright solitons and fascinating interactions between two solitons can be achieved with different parameters. The obtained results may raise the possibility of relative experiments and potential applications.

5 pages, 4 figures

References in corpus (6)

• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
• Localized nonlinear waves in systems with time- and space-modulated nonlinearities
• Solitons with Cubic and Quintic Nonlinearities Modulated in Space and Time
• Exact solutions to three-dimensional generalized nonlinear Schrodinger equations with varying potential and nonlinearities
• Fully three dimensional breather solitons can be created using Feshbach resonance

Cited by in corpus (7)

• Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates
• Three-dimensional rogue waves in non-stationary parabolic potentials
• Matter-wave solutions in the Bose-Einstein condensates with the harmonic and Gaussian potentials
• Modulation of localized solutions in quadratic-cubic nonlinear Schrödinger equation with inhomogeneous coefficients
• Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation
• Two-Dimensional Superfluid Flows in Inhomogeneous Bose-Einstein Condensates
• An analysis of spatiotemporal localized solutions in the variable coefficients (3+1)-dimensional nonlinear Schrödinger equation with six different forms of dispersion parameters