We construct traveling wave solutions possessing multiple stationary vortex rings with neighboring interaction to the problem iût = ε 2 4 û + ( Ṽ − |û| ) û, û ∈ H(R), where the unknown function û is defined as û : R3 ×R→ C, ε is a small positive parameter and Ṽ is a smooth potential. We first consider the case for two rings lying the same plane in a such way that they have interaction in the no...

The properties of a special class of correlated many-body wave functions, named rotating vortex clusters RVCs , that preserve the total angular momentum of a small cloud of trapped rotating bosons are investigated. They have lower energy and provide a superior description for the formation of vortices compared to the mean-field Gross-Pitaevskii GP states that break the rotational symmetry. The ...

Flame stability inside a cylindrical micro-combustor was studied. Considering occurrence of heat recirculation, the respective relations were written and with parameters such as motion speed of reactants, flame propagation speed and thermal conductivity of the combustor’s wall, flame stability and its location inside micro-combustor were studied. It was found that for each thermal conductivity ...

We explore the influence of the orbital angular momentum on the collapse of vortex-free elliptic clouds of Bose–Einstein condensates with a negative scattering length trapped in a radially symmetric harmonic potential. We show that the number of trapped ultracold atoms corresponding to the collapse threshold can be radically increased for such rotating nonlinear matter waves. Below the threshol...

We describe theory and simulations of a spinning optical soliton whose propagation spontaneously excites knotted and linked optical vortices. The nonlinear phase of the self-trapped light beam breaks the wave front into a sequence of optical vortex loops around the soliton, which, through the soliton's orbital angular momentum and spatial twist, tangle on propagation to form links and knots. We...

We introduce novel classes of optical vector solitons that consist of incoherently coupled self-trapped "necklace" beams carrying zero, integer, and even fractional angular momentum. Because of the stabilizing mutual attraction between the components, such stationary localized structures exhibit quasistable propagation for much larger distances than the corresponding scalar vortex solitons and ...

The present study examines the effects of periodic and random excitations on particle dispersion in the near field of a transitional axisymmetric jet. The study is motivated by the consideration that particle dynamics in the near-jet region is governed by vortex structures, whose behavior, in turn, can be altered through external excitations. A large eddy simulation model based on a fourth-orde...