2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56801A new family of one- and two-gap elliptic densities of the polar operator has been constructed by modifying the so-called "higher time approach" to constructing finite-gap solutions of the Harry Dym equation. Auto-Bäcklund transformations of the obtained stationary solutions have been constructed and their properties have been studied.Mathematical Physicstext