  In this note we further develop the duality between supersymmetric gauge
theories in various dimensions and elliptic integrable systems such as
Ruijsenaars-Schneider model and periodic intermediate long wave hydrodynamics.
These models arise in instanton counting problems and are described by certain
elliptic algebras. We discuss the correspondence between the two types of
models by employing the large-n limit of the dual gauge theory. In particular
we provide non-Abelian generalization of our previous result on the
intermediate long wave model.
