Different wave patterns for two-coupled Maccari's system with complex structure via truncated Painlevé approach

doi:10.1088/1674-1056/acf497

中国物理B ›› 2023, Vol. 32 ›› Issue (12): 120503-120503.doi: 10.1088/1674-1056/acf497

Different wave patterns for two-coupled Maccari's system with complex structure via truncated Painlevé approach

Hongcai Ma(马红彩)^†, Xinru Qi(戚心茹)^‡, and Aiping Deng(邓爱平)

Department of Applied Mathematics, Donghua University, Shanghai 201620, China

收稿日期:2023-08-09 修回日期:2023-08-27 接受日期:2023-08-29 出版日期:2023-11-14 发布日期:2023-11-30
通讯作者: Hongcai Ma, Xinru Qi E-mail:hongcaima@hotmail.com;qixinrudhu@163.com

Different wave patterns for two-coupled Maccari's system with complex structure via truncated Painlevé approach

Hongcai Ma(马红彩)^†, Xinru Qi(戚心茹)^‡, and Aiping Deng(邓爱平)

Department of Applied Mathematics, Donghua University, Shanghai 201620, China

Received:2023-08-09 Revised:2023-08-27 Accepted:2023-08-29 Online:2023-11-14 Published:2023-11-30
Contact: Hongcai Ma, Xinru Qi E-mail:hongcaima@hotmail.com;qixinrudhu@163.com

摘要/Abstract

摘要： We focused on the two-coupled Maccari's system. With the help of truncated Painlevé approach (TPA), we express local solution in the form of arbitrary functions. From the solution obtained, using its appropriate arbitrary functions, we have generated the rogue wave pattern solutions, rogue wave solutions, and lump solutions. In addition, by controlling the values of the parameters in the solutions, we show the dynamic behaviors of the rogue wave pattern solutions, rogue wave solutions, and lump solutions with the aid of Maple tool. The results of this study will contribute to the understanding of nonlinear wave dynamics in higher dimensional Maccari's systems.

关键词: two-coupled Maccari's system, rogue wave, lump wave, truncated Painlevé, approach

Abstract: We focused on the two-coupled Maccari's system. With the help of truncated Painlevé approach (TPA), we express local solution in the form of arbitrary functions. From the solution obtained, using its appropriate arbitrary functions, we have generated the rogue wave pattern solutions, rogue wave solutions, and lump solutions. In addition, by controlling the values of the parameters in the solutions, we show the dynamic behaviors of the rogue wave pattern solutions, rogue wave solutions, and lump solutions with the aid of Maple tool. The results of this study will contribute to the understanding of nonlinear wave dynamics in higher dimensional Maccari's systems.

Key words: two-coupled Maccari's system, rogue wave, lump wave, truncated Painlevé, approach

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems) 47.20.Ky (Nonlinearity, bifurcation, and symmetry breaking) 52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))

Hongcai Ma(马红彩), Xinru Qi(戚心茹), and Aiping Deng(邓爱平). Different wave patterns for two-coupled Maccari's system with complex structure via truncated Painlevé approach[J]. 中国物理B, 2023, 32(12): 120503-120503.

Hongcai Ma(马红彩), Xinru Qi(戚心茹), and Aiping Deng(邓爱平). Different wave patterns for two-coupled Maccari's system with complex structure via truncated Painlevé approach[J]. Chin. Phys. B, 2023, 32(12): 120503-120503.

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Different wave patterns for two-coupled Maccari's system with complex structure via truncated Painlevé approach

Different wave patterns for two-coupled Maccari's system with complex structure via truncated Painlevé approach

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