TY - JOUR TI - Darboux transform and conservation laws of new differential-difference equations AU - Zhang Sheng AU - Liu Dongdong JN - Thermal Science PY - 2020 VL - 24 IS - 4 SP - 2519 EP - 2527 PT - Article AB - Darboux transforms, exact solutions and conservation laws are important topics in thermal science and other fields as well. In this paper, the new non-linear differential-difference equations associated a discrete linear spectral problem are studied analytically. Firstly, the Darboux transform of the studied equations is constructed, and exact solutions are then obtained. Finally, infinite many conservation laws are derived.