High-order breather,M-kink lump and semi-rational solutions of potential Kadomtsev-Petviashvili equation  

作　　者：Yulei Cao Yi Cheng Jingsong He Yiren Chen 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei,Anhui 230026,China [2]Institute for Advanced Study,Shenzhen University,Shenzhen,Guangdong 518060,China [3]College of Mathematics and Statistics,Shenzhen University,Shenzhen,Guangdong 518060,China

出　　处：《Communications in Theoretical Physics》2021年第3期28-35,共8页理论物理通讯（英文版）

基　　金：supported by the NSF of China under Grant No.12001377,Grant No.11671219 and Grant No.12071304.

摘　　要：N-kink soliton and high-order synchronized breather solutions for potential Kadomtsev-Petviashvili equation are derived by means of the Hirota bilinear method,and the limit process of high-order synchronized breathers are shown.Furthermore,M-lump solutions are also presented by taking the long wave limit.Additionally,a family of semi-rational solutions with elastic collision are generated by taking a long-wave limit of only a part of exponential functions,their interaction behaviors are shown by three-dimensional plots and contour plots.

关 键 词：PKP equation bilinear method BREATHER Af-kink lump semi-rational solution 

分 类 号：O175[理学—数学]