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. DO - 10.2298/TSCI2004519Z ER -