The soft x-ray gain of the transient collisional excited (TCE) Ni-like Ag l
aser is investigated using the plasma hydrodynamics and atomic kinetics cod
es. The gain is calculated for a plasma produced from two 100ps laser irrad
iated solid target to show qualitative agreement with the experiment. The c
alculation shows significant improvement of the gain using a thin foil targ
et pumped by two short laser pulses, because of a better coupling of the pu
mp laser energy into the gain region of the plasma. The codes will provide
performance prediction as well as optimization of the experimental studies
of the TCE x-ray lasers.