Real hyperelliptic solutions of gauged modified KdV equation of genus $g$

The real part of the focusing modified Korteweg-de Vries (MKdV) equation defined over the complex field $\mathbb{C}$ gives rise to the focusing gauged MKdV (FGMKdV) equation. In this paper, we construct the real hyperelliptic solutions of FGMKdV equation in terms of data of the hyperelliptic curves of genus $g$ by extending the previous results of genus three (Matsutani, Math. Phys. Ana. Geom., 27 (2024) 19).