  Shortcuts to adiabaticity (STA) are powerful tools that can be used to
control quantum systems with high fidelity. They work particularly well for
single particle and non-interacting systems which can be described exactly and
which possess invariant or self-similar dynamics. However, finding an exact STA
for strongly correlated many-body systems can be difficult, as their complex
dynamics may not be easily described, especially for larger systems that do not
possess self-similar solutions. Here, we design STAs for one-dimensional
bosonic gas in the Tonks--Girardeau limit by using a mean-field approach that
succinctly captures the strong interaction effects through a quintic nonlinear
term in the Schr\"odinger equation. We show that for the case of the harmonic
oscillator with a time-dependent trap frequency the mean-field approach works
exactly and recovers the well-known STA from literature. To highlight the
robustness of our approach we also show that it works effectively for
anharmonic potentials, achieving higher fidelities than other typical control
techniques.
