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

doi:10.1088/1674-1056/ac6869

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.

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

Received: 10 March 2022
Revised: 13 April 2022
Accepted manuscript online: 20 April 2022

PACS:	02.30.Ik	(Integrable systems)
	04.20.Jb	(Exact solutions)
	04.30.Nk	(Wave propagation and interactions)

Fund: 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).

Corresponding Authors: Zhong Du
E-mail: duzhong002@ncepu.edu.cn

Cite this article:

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 2022 Chin. Phys. B 31 120202

[1] Ablowitz M J, Kaup D J, Newell A C and Segur H 1973 Phys. Rev. Lett. 31 125
[2] Zhang H S, Wang L, Sun W R, Wang X and Xu T 2021 Physica D 419 132849
[3] Fang Y, Wu G Z, Wang Y Y and Dai C Q 2021 Nonlinear Dyn. 105 603
[4] Xu T, Li L, Li M, Li C and Zhang X 2021 Proc. R. Soc. A 477 2254
[5] Yang B and Yang J 2021 IMA J. Appl. Math. 86 378
[6] Lü X and Chen S J 2021 Nonlinear Dyn. 103 947
[7] Wang B H, Wang Y Y, Dai C Q and Chen Y X 2020 Alex. Eng. J. 59 4699
[8] Yan Y Y and Liu W J 2021 Chin. Phys. Lett. 38 094201
[9] Dai C Q and Zhang J F 2020 Nonlinear Dyn. 100 1621
[10] Yang Y X, Yao S K, Zhang C H and Zhao W Z 2015 Chin. Phys. Lett. 32 40202
[11] He X J and Lü X 2022 Math. Comput. Simulat. 197 327
[12] Lü X and Chen S J 2021 Commun. Nonlinear Sci. 103 105939
[13] Zhang H and Liu D Y 2020 Appl. Math. Lett. 102 106102
[14] Chen S J, Lü X, Li M G and Wang F 2021 Phys. Scripta 96 095201
[15] Liu Y K and Li B 2017 Chin. Phys. Lett. 34 10202
[16] Ma W X and Fan E G 2011 Comput. Math. Appl. 61 950
[17] Ma W X and Zhu Z 2012 Appl. Math. Comput. 218 11871
[18] Ma W X, Qin Z and Lü X 2016 Nonlinear Dyn. 84 923
[19] Sun Y, Tian B, Liu L, Chai H P and Yuan Y Q 2017 Commun. Theor. Phys. 68 693
[20] Ding C C, Gao Y T and Deng G F 2019 Nonlinear Dyn. 97 2023
[21] Ohta Y and Yang J 2012 Phys. Rev. E 86 036604
[22] Chen J, Feng B F, Maruno K I and Ohta Y 2018 Stud. Appl. Math. 141 145
[23] Rao J, Chow K W, Mihalache D and He J 2021 Stud. Appl. Math. 147 1007
[24] Lü X and Chen S J 2021 Commun. Nonlinear Sci. 103 105939
[25] Rao J, He J and Mihalache D 2021 Appl. Math. Lett. 121 107435
[26] Rao J, Fokas A S and He J 2021 J. Nonlinear Sci. 31 1
[27] Lü X and Chen S J 2022 Commun. Nonlinear Sci. 109 106103
[28] Hirota R 2004 The direct method in soliton theory (Cambridge University Press) p. 23
[29] Date E, Jimbo M, Kashiwara M and Miwa T 1982 Publ. Res. I. Math. Sci. 18 1077

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