Formula_5123

\[\begin{gathered}\frac{\partial A}{\partial T}+\omega_{c}^{\prime}\left(\frac{\partial}{\partial X}-\frac{i}{2 k_{c}} \Delta\right) A+\frac{1}{2}\left[\gamma^{\prime \prime}-i\left(\omega_{c}^{\prime \prime}-\frac{\omega_{c}^{\prime}}{k_{c}}\right)\right] \times \\\times\left(\frac{\partial}{\partial X}-\frac{i}{2 k_{c}} \frac{\partial^{2}}{\partial Y^{2}}\right)^{2} A=\gamma A-\frac{1}{2} \delta A^{2} A^{*},\end{gathered}\]