On Darboux Integrable Semi-Discrete Chains

Ismagil Habibullin, Natalya Zheltukhina, Alfia Sakieva

Differential-difference equation $\frac{d}{dx}t(n+1,x)=f(x,t(n,x),t(n+1,x),\frac{d}{dx}t(n,x))$ with unknown $t(n,x)$ depending on continuous and discrete variables $x$ and $n$ is…