The common solutions of Pell equations x²-(a²b²±a)y²=1 and y²-2p₁p₂p₃z₂=4b²

Let $p_1,p_2,p_3$ be three distinct odd primes and let $a\ge 2$, $b\ge 1$ be two integers. All nonnegative integer solutions $\left(x,y,z\right)$ of Pell equation $x^2-\left(a^2{b}^2\pm a\right)y^2=1$ and $y^2-2p_1{p}_2{p}_3{z}^2=4b^2$ were given. Thus, the results of reference [12] were generalized.