Hidden features of soliton adaptation law to external potentials: Optical and matter-wave soliton bullets in nonautonomous and nonlinear systems

摘要

Based on the generalized nonlinear Schrodinger equation model with sign-reversal varying-in-time harmonic oscillator potential, we show that conditions of its exact integrability in one-dimensional case (1D) indicate conclusively the way for solitonlike bullets generation in 3D nonautonomous nonlinear and dispersive systems. It turns out that generation of matter-wave soliton bullets can be realized if periodic variations of nonlinearity and confining potential are opposite in phases so that peaks of nonlinearity inside the atomic cloud coincide in time with repulsive character of trapping potential. In nonlinear optical applications, periodic graded-index nonlinear structures with alternating wave-guiding and anti-wave-guiding segments open remarkable opportunities in studies of BEC systems by performing experiments in nonlinear optical systems.