  In paper by I.T. Habibullin and our joint paper the algorithm for
classification of integrable equations with three independent variables was
proposed. This method is based on the requirement of the existence of an
infinite set of Darboux integrable reductions and on the notion of the
characteristic Lie-Rinehart algebras. The method was applied for the
classification of integrable cases of different subclasses of equations
$u_{n,xy} = f(u_{n+1},u_n,u_{n-1}, u_{n,x},u_{n,y})$ of special forms. Under
this approach the novel integrable chain was obtained. In present paper we
construct Lax pair for the novel chain. To construct the Lax pair, we use the
scheme suggested in papers by E.V. Ferapontov. We also study the periodic
reduction of the chain.

Exactly Solvable and Integrable Systems