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An ultracold wave packet of bosonic atoms loaded into a travelling laser wavemay form a many-atom soliton.This is disturbed by a homogeneous force field,for example by the inevitable gravitation. The wave packet is accelerated andtherefore the laser frequency appears to be chirped in the rest frame of theatoms. We derive the effective nonlinear Schr\"odinger equation. It shows atime dependent nonlinearity coefficient which amounts to a damping orantidamping, respectively. The accelerated packet solution remains a solitonwhich changes its shape adiabatically. Similarly, an active shaping can beobtained in the force-free case by chirping the laser frequency thusrepresenting a way of coherent control of the soliton form. The experimentalconsequences are discussed.Comment: 5 pages, Latex, to published in Europhys. Let

Shaping an ultracold atomic soliton in a travelling wave laser beam