2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213909We present changes of variables that transform new integrable hierarchies found by Szablikowski and Błaszak using the $R$-matrix deformation technique [J. Math. Phys. 47 (2006), paper 043505, nlin.SI/0501044] into known Harry-Dym-type and mKdV-type hierarchies.5 pages, AMS-LaTeXMathematical Physics37K10, 37K15text