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Mean-filed dynamics of a Bose-Einstein condensate (BEC) loaded in an opticallattice (OL), confined by a parabolic potentials, and subjected to change of ascattering length by means of the Feshbach resonance (FR), is considered. Thesystem is described by the Gross-Pitaevskii (GP) equation with varyingnonlinearity, which in a number of cases can be reduced a one-dimensionalperturbed nonlinear Schr\"{o}dinger (NLS) equation. A particular form of thelast one depends on relations among BEC parameters. We describe periodicsolutions of the NLS equation and their adiabatic dynamics due to varyingnonlinearity; carry out numerical study of the dynamics of the NLS equationwith periodic and parabolic trap potentials. We pay special attention toprocesses of generation of trains of bright and dark matter solitons frominitially periodic waves.Comment: 16 pages, 11 figures (revised version). to be published in Phys. Rev.  A (2005

Management of matter waves in optical lattices by means of the Feshbach resonance