Abstract Basic models which give rise to one- and two-dimensional (1D 2D) solitons, such as the Gross-Pitaevskii (GP) equations for BEC, feature Galilean invariance, makes it possible generate families of moving solitons from quiescent ones. A challenging problem is find admitting stable self-accelerating (SA) motion solitons. SA modes are known in linear systems form Airy waves, but they poorl...

When evaluating quantitative aspects of communication networks using simulation, one of the main difficulties to face is the often considerable computing power required. In some specific mathematical frameworks, different techniques have been proposed in order to accelerate the simulation process while keeping the same precision in the result. This paper deals with one of them, the so called im...

There is a growing interest in the development of very high gradient (2 1 GeV/meter) accelerating structures and millimeter-wave power sources. The need for very high gradient structures to be operated in W-band or at higher frequencies poses great technical challenges and demands innovations in rf science and technology to reach this goalRequirements for microstructure fabrication and power so...

We subject a falling cloud of cold cesium atoms to periodic kicks from a sinusoidal potential created by a vertical standing wave of laser light. By controllably accelerating the potential, we show quantum accelerator mode dynamics to be highly sensitive to the effective gravitational acceleration when close to specific, resonant values. This quantum sensitivity to a control parameter is remini...