Dbar-dressing method for a new (2+1)-dimensional generalized Kadomtsev-Petviashvili equation

The primary purpose of this work is to consider a (2 + 1)-dimensional generalized KP equation via partial derivative-dressing method. Using the Fourier transform and Fourier inverse transform, we give the expression of the Green function for spatial spectral problem. Then, we choose two linear independent eigenfunctions and calculate the partial derivative derivative, a partial derivative problem arises naturally. Based on the symmetry of the Green function, we give a standard partial derivative equation, and its solution is expressed by the Cauchy formula.