Emergence and space–time structure of lump solution to the (2\(+\)1)-dimensional generalized KP equation

Research paper by Wei Tan, Houping Dai, Zhengde Dai, Wenyong Zhong

Indexed on: 02 Nov '17Published on: 31 Oct '17Published in: Pramana


A periodic breather-wave solution is obtained using homoclinic test approach and Hirota’s bilinear method with a small perturbation parameter \(u_{0}\) for the (2\(+\)1)-dimensional generalized Kadomtsev–Petviashvili equation. Based on the periodic breather-wave, a lump solution is emerged by limit behaviour. Finally, three different forms of the space–time structure of the lump solution are investigated and discussed using the extreme value theory.