Formula_2420

\[\begin{gathered}\frac{\partial^{2} x}{\partial z_{+} \partial z_{-}}=\lambda\left(\exp 2 x+\omega^{+} \omega^{-} \exp x\right), \\\frac{\partial \omega^{+}}{\partial z_{-}}=\omega^{-} \exp x, \quad \frac{\partial \omega^{-}}{\partial z_{+}}=\omega^{+} \exp x,\end{gathered}\]