A. Khakimova

Integrable discrete systems

The problem of finding and classifying integrable equations of the form $u^{j+1}_{n,x}=F(u^{j}_{n,x},u^{j+1}_{n},u^{j}_{n+1},u^{j}_{n},u^{j+1}_{n-1})$ with three independent variables is discussed. The presence of two discrete variables poses additional challenges for the study of such models within the known approache...