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Quantized vortices in a complex wave field described by a defocusingnonlinear Schr\"odinger equation with a space-varying dispersion coefficientare studied theoretically and compared to vortices in the Gross-Pitaevskiimodel with external potential. A discrete variant of the equation is used todemonstrate numerically that vortex knots in three-dimensional arrays ofoscillators coupled by specially tuned weak links can exist for as long timesas many tens of typical vortex turnover periods.

Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links