Modulational instability and variable separation solution for a generalized (2+1)-Dimensional hirota equation

It is demonstrated by the linear modulational instability analysis that a generalized (2+1)-dimensional Hirota equation is modulationally stable. Then, a Bäcklund transformation (BT) is obtained by means of the truncated Painlevé approach. Using the BT, the model is transformed to a system of equations, which finally leads to a special variable separation solution with arbitrary functions.