  Optomechanical manipulation of nanoparticles enabling ultimate control over
their 3D motion is nowadays one of the most highly demanded links between
optics, biology, medicine, microfluidics, etc., paving the way for a plethora
of emerging applications from drug delivery to living cells, to new methods of
nanofabrication. In this Letter we provide novel type of optical manipulation
driven by nonlinear effects and laying on the interface between classical
optomechanics and non-linear optics. The formation, stability and the dynamics
of optical dissipative solitary waves interacting with dielectric nanoparticles
are studied theoretically. A mathematical model describing the optical field
and the particles are proposed and the stationary solutions in the form of
localized optical waves interacting with nanoparticles are found, their
bifurctations are studied. It is shown that the linear stability of the
solitary waves is affected by the particles but there are regions in the
parameter space where the solitons remain stable. The dynamics of the solitary
waves with trapped nanoparticles under the action of the inhomogeneous pump is
also studied.
