  Kadomtsev-Petviashvili (KP) equation, who can describe different models in
fluids and plasmas, has drawn investigation for its solitonic solutions with
various methods. In this paper, we focus on the periodic parabola solitons for
the (2+1) dimensional nonautonomous KP equations where the necessary
constraints of the parameters are figured out. With Painleve analysis and
Hirota bilinear method, we find that the solution has six undetermined
parameters as well as analyze the features of some typical cases of the
solutions. Based on the constructed solutions, the conditions of their
convergence are also discussed.
