Dynamics of analytical three-dimensional matter-wave solutions in Bose-Einstein condensates with multi-body interactions

Using the F-expansion method we obtain a class of analytical matter-wave solutions to Bose-Einstein condensates with multi-body interactions through the three-dimensional quintic Gross-Pitaevskii equation. Our results demonstrate that the dynamics of matter-wave solutions can be controlled by selecting the potential, quintic nonlinearity, and gain coefficients. The obtained matter-wave solutions may be generated by tuning the cubic nonlinearity to zero via the Feschbach resonance technique and making the quintic nonlinearity increasing rapidly enough toward the periphery. The stability analysis of the obtained matter-wave solutions is investigated analytically and numerically.