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

doi:10.1088/1674-1056/ac6869

中国物理B ›› 2022, Vol. 31 ›› Issue (12): 120202-120202.doi: 10.1088/1674-1056/ac6869

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

Yu-Qiang Yuan(袁玉强)¹, Xiao-Yu Wu(武晓昱)², and Zhong Du(杜仲)^3,†

1 Department of Mathematics, China University of Mining and Technology(Beijing), Beijing 100083, China;
2 School of Science, Beijing Forestry University, Beijing 100083, China;
3 Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China

收稿日期:2022-03-10 修回日期:2022-04-13 接受日期:2022-04-20 出版日期:2022-11-11 发布日期:2022-11-19
通讯作者: Zhong Du E-mail:duzhong002@ncepu.edu.cn
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities (Grant Nos. 2021XJLX01 and BLX201927), China Post-doctoral Science Foundation (Grant No. 2019M660491), and the Natural Science Foundation of Hebei Province, China (Grant No. A2021502003).

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

Yu-Qiang Yuan(袁玉强)¹, Xiao-Yu Wu(武晓昱)², and Zhong Du(杜仲)^3,†

1 Department of Mathematics, China University of Mining and Technology(Beijing), Beijing 100083, China;
2 School of Science, Beijing Forestry University, Beijing 100083, China;
3 Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China

Received:2022-03-10 Revised:2022-04-13 Accepted:2022-04-20 Online:2022-11-11 Published:2022-11-19
Contact: Zhong Du E-mail:duzhong002@ncepu.edu.cn
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities (Grant Nos. 2021XJLX01 and BLX201927), China Post-doctoral Science Foundation (Grant No. 2019M660491), and the Natural Science Foundation of Hebei Province, China (Grant No. A2021502003).

摘要/Abstract

摘要： We investigate certain rogue waves of a (3+1)-dimensional BKP equation via the Kadomtsev-Petviashili hierarchy reduction method. We 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 quickly. We 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 wave. Furthermore, the higher-order semi-rational solutions describing the interaction between two lumps (one line rogue wave) and three kink solitons are presented.

关键词: (3+1)-dimensional BKP equation, Kadomtsev-Petviashvili hierarchy reduction, interaction, rogue wave, lump

Abstract: We investigate certain rogue waves of a (3+1)-dimensional BKP equation via the Kadomtsev-Petviashili hierarchy reduction method. We 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 quickly. We 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 wave. Furthermore, the higher-order semi-rational solutions describing the interaction between two lumps (one line rogue wave) and three kink solitons are presented.

Key words: (3+1)-dimensional BKP equation, Kadomtsev-Petviashvili hierarchy reduction, interaction, rogue wave, lump

中图分类号: (Integrable systems)

02.30.Ik

04.20.Jb (Exact solutions) 04.30.Nk (Wave propagation and interactions)

Yu-Qiang Yuan(袁玉强), Xiao-Yu Wu(武晓昱), and Zhong Du(杜仲). Rogue waves of a (3+1)-dimensional BKP equation[J]. 中国物理B, 2022, 31(12): 120202-120202.

Yu-Qiang Yuan(袁玉强), Xiao-Yu Wu(武晓昱), and Zhong Du(杜仲). Rogue waves of a (3+1)-dimensional BKP equation[J]. Chin. Phys. B, 2022, 31(12): 120202-120202.

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

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

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