Solvability of a class of four-parameter systems of nonlinear difference equations

In this paper, we investigate the following system of nonlinear difference equations xn+1=axnyn2+bxn2yn, yn+1=cxnyn2+dxn2yn, n∈N0,where the initial values x0, y0 are nonzero real numbers and the parameters a, b, c, d are real numbers such that (|a|+|b|)(|c|+|d|)≠ 0, which constitutes a new class of solvable systems of nonlinear difference equations. We obtain closed-form formulas of well-defined solutions of the system via a new and practical method.