Multi-soliton, Breather, Lump and Their Interactions of the (2+1)-dimensional Generalized Potential Kadomtsev-Petviashvili Equation

In this paper, the generalized potential Kadomtsev-Petviashvili (gpKP) equation from fluid physics is systematic studied by some effective methods. Based on the Hirota bilinear method, multi-soliton solutions and multi-order breathers of the gpKP equation are presented. In the meanwhile, the multi-soliton can be transformed into the multi-order lumps under the long wave limit method. Furthermore, the interactions among the multi-soliton, multi-order breathers and multi-order lumps are discussed and simulated as well. The interaction between one-order lump and two solitons is elastic due to their shapes and amplitudes unchanged after collisions. The obtained results can immensely augment in understanding the nonlinear dynamic system deeply.