Localized wave solutions and interactions of the (2+1)-dimensional Hirota—Satsuma—Ito equation

doi:10.1088/1674-1056/ad1f4c

Abstract This paper studies the (2+1)-dimensional Hirota—Satsuma—Ito equation. Based on an associated Hirota bilinear form, lump-type solution, two types of interaction solutions, and breather wave solution of the (2+1)-dimensional Hirota—Satsuma—Ito equation are obtained, which are all related to the seed solution of the equation. It is interesting that the rogue wave is aroused by the interaction between one-lump soliton and a pair of resonance stripe solitons, and the fusion and fission phenomena are also found in the interaction between lump solitons and one-stripe soliton. Furthermore, the breather wave solution is also obtained by reducing the two-soliton solutions. The trajectory and period of the one-order breather wave are analyzed. The corresponding dynamical characteristics are demonstrated by the graphs.

Keywords: lump solution rogue wave solution breather wave solution (2+1)-dimensional Hirota—Satsuma—Ito equation

Received: 02 December 2023
Revised: 14 January 2024
Accepted manuscript online: 17 January 2024

PACS:	05.45.Yv	(Solitons)
	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12275172 and 11905124).

Corresponding Authors: Hui Wang
E-mail: hwang@shmtu.edu.cn

Cite this article:

Qiankun Gong(巩乾坤), Hui Wang(王惠), and Yunhu Wang(王云虎) Localized wave solutions and interactions of the (2+1)-dimensional Hirota—Satsuma—Ito equation 2024 Chin. Phys. B 33 040505

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Localized wave solutions and interactions of the (2+1)-dimensional Hirota—Satsuma—Ito equation

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