Bose-Einstein condensate (BEC) is a state of matter of a dilute bosonic gas cooled to temperature very close to absolute zero. In some simple cases, the state of condensed particles can be described with a nonlinear Schrödinger equation, also known as Gross-Pitaevskii (GP) or Ginzburg-Landau equation. The validity of this approach is actually limited to the case of ultracold temperatures, which fits well for the most alkali atoms experiments. In such clear and controllable systems, there exists many exotic phenomena due to the interaction (short-range or long range) between atoms and light, for example vortex lattice formations, quantum turbulence, supersolid phase and so on. This famous nonlinear and nonlocal differential equation interests many theoretical physicists and mathematicians. In this workshop, we have invited four experienced BEC physicists to lecture this interesting subject.