%A Ying Li,Jianguo Liu,Lianwu Yang %T New Exact Periodic Solitary Wave Solutions for the (3+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation %0 Journal Article %D 2019 %J Acta mathematica scientia,Series A %R %P 1064-1076 %V 39 %N 5 %U {http://121.43.60.238/sxwlxbA/CN/abstract/article_15951.shtml} %8 2019-10-26 %X

In this paper, we investigate the generalized Kadomtsev-Petviashvili equation for the evolution of nonlinear, long waves of small amplitude with slow dependence on the transverse coordinate. By virtue of the Hirota's bilinear form and the extended homoclinic test approach, new exact periodic solitary wave solutions for the (3+1)-dimensional generalized KadomtsevPetviashvili equation are obtained, which is different from those in previous literatures. With the aid of symbolic computation, the properties and characteristics for these new exact periodic wave solutions are presented with some figures.