  With the nonuniform media taken into account, the nonisospectral and
variable-coefficient Korteweg-de Vries equation, which describes various
physical situations such as fluid dynamics and plasma, is under investigation
in this paper. With appropriate selection of wave functions, the Darboux
transformation is constructed, by which the multi-soliton solutions are derived
and graphs are presented. The spectral parameters, coefficients and initial
phase are discussed analytically and numerically to demonstrate their
respective effect on the soliton dynamics, which plays a role in achieving the
feasible soliton management with explicit conditions taken into account.
