Diode end-pumped dual-wavelength Er,Pr:GSAG laser operating at 2696 and 2828 nm

•Er3+, Pr3+:GSAG laser operate in dual-wavelength of 2696 and 2828 nm for the first time.•The terminal laser level (4I13/2) lifetimes of Er3+ ions in Er,Pr:GSAG crystal is shortened largely.•A series of intensive investigations of Er,Pr:GSAG laser performance and laser beam quality are characterized.•A new compactness and high efficiency diode-pumped solid-state laser can be realized on the Er,Pr:GSAG crystal.