Lie group analysis of a generalized Krichever-Novikov differential-difference equation

Decio Levi, Eugenio Ricca, Zora Thomova +1

The symmetry algebra of the differential--difference equation $${\dot{u}}_n=[P(u_n)u_{n+1}{u}_{n-1}+Q(u_n)(u_{n+1}+u_{n-1})+R(u_n)]/(u_{n+1}-u_{n-1}),$$ where $P$, $Q$ and $R$ are…