Lumps, breathers and interaction solutions of a (3+1)-dimensional
generalized Kadovtsev-Petviashvili equation
Abstract
In this paper, we use the Hirota bilinear method to nd the N-soliton
solution of a (3+1)-dimensional generalized Kadovtsev-Petviashvili
equation. Then, we obtain the T-order breathers of the equation, and
combine the long-wave limit method to give the M-order lumps. Resorting
to the extended homoclinic test technique, we obtain the breather-kink
solutions for the equation. Last, the interaction solution composed of
the K-soliton solution, T-breathers and M-lumps for the
(3+1)-dimensional generalized KP equation is constructed.