...beyond-mean-field effects Lee–Huang–Yang corrections vortex droplets semidiscrete modes Theoretical Models of QDs in Three, Two, and One Dimensions The 3D case The energy density of a condensed Bose–Bose mixture in the MF (mean-field) approximation is (11.1) E MF = 1 2 g 11...

... is to create 2D and 3D vortex solitons, which are described by a complex wave function. This means building solitons with an intrinsic angular momentum, which may be considered as a classical counterpart of spin of quantum particles. Solitons can carry an orbital angular momentum in a different form...

...collapse Kerr nonlinearity stabilization vortex solitons cubic–quintic nonlinearity saturable nonlinearity trapping potentials lattice potentials Bose–Einstein condensates Feshbach resonance nonlinear potential Lee–Huang–Yang effect quantum droplets spin–orbit coupling (SOC) Rashba...

...–polariton states is relevant as well ( Deng et al., 2010 ). This is an essentially dissipative nonlinear system, in which losses are balanced by an external pump. It admits the prediction and experimental creation of various nonlinear collective modes. In particular, vortex states were created...

...water waves Korteweg-de Vries equation integrability inverse scattering transform soliton-soliton collisions nonlinear Schrödinger (NLS) equations Gross-Pitaevskii equations optical fibers nonlinear couplers Bragg grating Bose-Einstein condensates Feshbach resonance quantum droplets...

... will remain in the airstream and suspended. Particles in the air enter the cyclone from the top through the inlet and is tangential to the cylindrical portion of the cyclone. The air turns downward to form a peripheral vortex, which creates centrifugal forces. Individual particles are carried toward...

... in sufficient amount so the squeezed bulb can force some water into the glass bulb as the air and water vapor is compressed. When the pressure on the rubber bulb is released, the gas adiabatically expands and forms a cloud of water droplets in the gaseous region. After a few expansions, the condensation nuclei...

... of vortexes. Over the hot fluid tiny water drops are suspended and mark the circulation systems commonly called Bénard cells. I try to examine the age-old questions about what parameters affect the cooling rate of hot coffee, the color of the mug, whether you should add the cream immediately or later...