In this paper, we investigate KP equation by the Hirota bilinear method
and obtain its bilinear form successfully. On the basis of above
bilinear form, a number of explicit solutions including one-solitary
wave solution, two-solitary wave solution and their generalized form
N-solitary wave solution are obtained successfully. Moreover, in view of
the homoclinic breather limit method, we also express breather wave
solutions and rogue wave solutions of KP-equation. Finally, with
mathematical software Maple, we obtained overhead views, perspective
views and wave propagation pattern of solutions in different parameter
areas.