  In this report, a novel methodology based on the static coherent states
approach is introduced with the capability of calculating various strong-field
laser-induced nonlinearities in full dimensional single-electron molecular
systems; an emphasis is made on the high-order harmonic generation. To evaluate
the functionality of this approach, we present a case study of the Hydrogen
molecular ion \ih interacting with a few-cycle linearly polarized optical laser
with trapezoidal waveform. We detected that the accuracy of the obtained
harmonics is considerably enhanced by averaging the expectation value of the
acceleration of the single electron over a set of identical random simulations.
Subsequently, the presented approach demands a significantly lower number of
basis sets than the regular exact three dimensional unitary split-operator
solvers of time dependent Schr{\"o}dinger equation that necessitate an
extremely large number of data points in the coordinate space, and so the
computational cost. Additionally, applying static coherent states method, we
have investigated isolated attosecond pulse generation using the polarization
gating technique, which combines two delayed counter rotating circular laser
pulses, and opens up a gate at the central portion of the superposed pulse.
