We demonstrate that rotating quasi-one-dimensional potentials, periodic or parabolic, support solitons in settings where they are otherwise impossible. Ground-state and vortex solitons are found in defocusing media, if the rotation frequency a exceeds a critical value. The revolving periodic potentials exhibit the strongest stabilization capacity at a finite optimum value of their strength, while the rotating parabolic trap features a very sharp transition to stability with the increase of a.
Kartashov, Y.V., Malomed, B., Torner, L. Guiding-center solitons in rotating potentials. "Physical review A", Juny 2007, vol. 75, núm. 6, p. 1-4.