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

doi:10.1088/1674-1056/acf497

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.

Keywords: two-coupled Maccari's system rogue wave lump wave truncated Painlevé approach

Received: 09 August 2023
Revised: 27 August 2023
Accepted manuscript online: 29 August 2023

PACS:	05.45.Yv	(Solitons)
	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.))

Corresponding Authors: Hongcai Ma, Xinru Qi
E-mail: hongcaima@hotmail.com;qixinrudhu@163.com

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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 2023 Chin. Phys. B 32 120503

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

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