Rogue waves of a(3+1)-dimensional BKP equation

作     者：Yu-Qiang Yuan Xiao-Yu Wu Zhong Du 袁玉强;武晓昱;杜仲

作者机构：Department of MathematicsChina University of Mining and Technology(Beijing)Beijing 100083China School of ScienceBeijing Forestry UniversityBeijing 100083China Department of Mathematics and PhysicsNorth China Electric Power UniversityBaoding 071003China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2022年第31卷第12期

页      面：21-26页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the Fundamental Research Funds for the Central Universities(Grant Nos.2021XJLX01 and BLX201927) China Post-doctoral Science Foundation(Grant No.2019M660491) the Natural Science Foundation of Hebei Province,China(Grant No.A2021502003) 

主　　题：(3+1)-dimensional BKP equation Kadomtsev-Petviashvili hierarchy reduction interaction rogue wave lump 

摘      要：We investigate certain rogue waves of a(3+1)-dimensional BKP equation via the Kadomtsev-Petviashili hierarchy reduction *** obtain semi-rational solutions in the determinant form,which contain two special interactions:(i)one lump develops from a kink soliton and then fuses into the other kink one;(ii)a line rogue wave arises from the segment between two kink solitons and then disappears *** find that such a lump or line rogue wave only survives in a short time and localizes in both space and time,which performs like a rogue ***,the higher-order semi-rational solutions describing the interaction between two lumps(one line rogue wave)and three kink solitons are presented.