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The paper deals with the following system of nonlinear difference equations\begin{equation*} x_{n+1}=ax_{n}^{2}y_{n}+bx_{n}y_{n}^{2},\y_{n+1}=cx_{n}^{2}y_{n}+dx_{n}y_{n}^{2},\ n\in \mathbb{N}_{0}, \end{equation*}where the initial values $x_{0},y_{0}$ and the parameters $a$, $b$, $c$, $d$are arbitrary real numbers, which is a new class of solvable systems ofnonlinear difference equations. The general solution of the system is hereobtained in closed form via a practical method.

A new class of solvable nonlinear difference equation systems