2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80299We provide a treatment of real-valued, smooth, and bounded algebro-geometric solutions of the Camassa--Holm (CH) hierarchy and describe the associated isospectral torus. We also discuss real-valued algebro-geometric solutions with a cusp behavior.LaTeX, 24 pagesExactly Solvable and Integrable Systemstext