Bose–Einstein condensates with spatially inhomogeneous interaction and bright solitons

In this Letter, we investigate the dynamics of Bose–Einstein Condensates (BECs) with spatially inhomogeneous interaction and generate bright solitons for the condensates by solving the associated mean field description governed by the Gross–Pitaevskii (GP) equation. We then investigate the properties of BECs in an optical lattice and periodic potential. We show that the GP equation in an optical lattice potential is integrable provided the interaction strength between the atoms varies periodically in space. The model discussed in the Letter offers the luxury of choosing the form of the lattice without destroying the integrability. Besides, we have also brought out the possible ramifications of the integrable model in the condensates of quasi-particles.

► We generate bright solitons for the collisionally inhomogeneous BECs. ► We then study their properties in an optical lattice and periodic potential. ► The model may have wider ramifications in the BECs of quasi-particles.