Rogue wave solutions of (3+1)-dimensional Kadomtsev-Petviashvili equation by a direct limit method  

作　　者：Yujie Sun Jiaojiao Wu Biao Li 

机构地区：[1]School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China

出　　处：《Communications in Theoretical Physics》2023年第6期11-21,共11页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.12175111,12235007 and 11975131;K.C.Wong Magna Fund in Ningbo University

摘　　要：On the bases of N-soliton solutions of Hirota’s bilinear method,high-order rogue wave solutions can be derived by a direct limit method.In this paper,a(3+1)-dimensional Kadomtsev-Petviashvili equation is taken to illustrate the process of obtaining rogue waves,that is,based on the long-wave limit method,rogue wave solutions are generated by reconstructing the phase parameters of N-solitons.Besides the fundamental pattern of rogue waves,the triangle or pentagon patterns are also obtained.Moreover,the different patterns of these solutions are determined by newly introduced parameters.In the end,the general form of N-order rogue wave solutions are proposed.

关 键 词：rogue wave SOLITON Hirota bilinear method KP equation 

分 类 号：O175[理学—数学]