Controlled engineering of a vortex-bright soliton dynamics using a constant driving force

Quantum Bright Soliton in a Disorder Potential

At very low temperature, a quasi-one-dimensional ensemble of atoms with attractive interactions tend to form a bright soliton. When exposed to a sufficiently weak external potential, the shape of the soliton is not modified, but its external motion is affected. We develop in detail the Bogoliubov approach for the problem, treating, in a non-perturbative way, the motion of the center of mass of ...

Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap

Numerical calculations of the driving force on an Abrikosov vortex

The driving force on an Abrikosov vortex is calculated numerically from the London equation and involved energies for a vortex perpendicular to the screening current near the surface of a superconductor. Compared with previous analytical derivation of the total force, the partial magnetic, kinematic, and external forces are also obtained so that the nature of the driving force may be deeply dis...

Dynamics of a Delayed Epidemic Model with Beddington-DeAngelis ‎Incidence Rate and a Constant Infectious Period

In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...

Vortex-stripe soliton interactions.

We study the interaction of an optical vortex soliton with a dark-soliton stripe in a bulk nonlinear defocusing medium. We develop a multiscale asymptotic theory to predict the main effect of the interaction and then study it experimentally, observing vortex-induced stripe bending, development of the transverse instability, and stripe breakup.