Li Wenfang, Kuang Yingchun, Manafian Jalil, Malmir Somaye, Eslami Baharak, Mahmoud K H, Alsubaie A S A
Faculty of Engineering, Huanghe S&T University, Zhengzhou, 450063, China.
School of Software and Microelectronics, Peking University, Beijing, 100000, China.
Sci Rep. 2024 Aug 25;14(1):19723. doi: 10.1038/s41598-024-70523-2.
We focused on solitonic phenomena in wave propagation which was extracted from a generalized breaking soliton system in (3 + 1)-dimensions. The model describes the interaction phenomena between Riemann wave and long wave via two space variable in nonlinear media. Abundant double-periodic soliton, breather wave and the multiple rogue wave solutions to a generalized breaking soliton system by the Hirota bilinear form and a mixture of exponentials and trigonometric functions are presented. Periodic-soliton, breather wave and periodic are studied with the usage of symbolic computation. In addition, the symbolic computation and the applied methods for governing model are investigated. Through three-dimensional graph, density graph, and two-dimensional design using Maple, the physical features of double-periodic soliton and breather wave solutions are explained all right. The findings demonstrate the investigated model's broad variety of explicit solutions. All outcomes in this work are necessary to understand the physical meaning and behavior of the explored results and shed light on the significance of the investigation of several nonlinear wave phenomena in sciences and engineering.
我们关注从（3 + 1）维广义破缺孤子系统中提取的波传播中的孤子现象。该模型描述了非线性介质中黎曼波与长波通过两个空间变量的相互作用现象。通过广田双线性形式以及指数函数和三角函数的混合，给出了广义破缺孤子系统丰富的双周期孤子、呼吸波和多个 rogue 波解。利用符号计算研究了周期孤子、呼吸波和周期。此外，还研究了控制模型的符号计算和应用方法。通过使用 Maple 进行三维图形、密度图和二维设计，很好地解释了双周期孤子和呼吸波解的物理特征。研究结果表明所研究模型具有广泛的显式解。这项工作中的所有结果对于理解探索结果的物理意义和行为以及阐明科学和工程中几种非线性波现象研究的重要性都是必要的。
