Zou Qunyan, Manafian Jalil, Malmir Somaye, Mahmoud K H, Alsubaie A Sa, Ewadh Nilofer Ali, Alrekabi Ihssan
School of Information and Artificial Intelligence, Nanchang Institute of Science & Technology, Nanchang, 330108, China.
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
Sci Rep. 2024 Dec 30;14(1):31718. doi: 10.1038/s41598-024-82565-7.
In this article, the spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time. In this framework, the Hirota bilinear form is applied to acquire diverse types of breather wave solutions from the foresaid equation. Abundant breather wave solutions are presented by the Hirota bilinear form and a mixture of exponentials and trigonometric functions with the usage of symbolic computation. In addition, the symbolic computation and the applied method for governing model are investigated. The movement role of the waves is investigated and the theoretical analysis of the acquired solutions is discussed using the bilinear technique of all produced solutions with 2D, density and 3D plots with respective parameters. The computational difficulties and outcomes highlight the clarity, effectiveness, and simplicity of the approaches, suggesting that these schemes can be applied to a variety of dynamic and static nonlinear equations governing evolutionary phenomena in computational physics as well as to other real-world situations and a wide range of academic fields.
本文研究了(2 + 1)维空间中的空间对称非线性色散波模型，该模型在二维空间中随时间的波动现象和孤子相互作用中有许多应用。在此框架下，应用广田双线性形式从上述方程中获得各种类型的呼吸波解。通过广田双线性形式以及指数函数和三角函数的混合形式，并借助符号计算，给出了丰富的呼吸波解。此外，还研究了符号计算和控制模型的应用方法。利用双线性技术对所有生成解进行二维、密度和三维绘图，并结合各自参数，研究了波的运动作用，讨论了所得解的理论分析。计算难点和结果突出了这些方法的清晰性、有效性和简单性，表明这些方案可应用于计算物理中控制演化现象的各种动态和静态非线性方程，以及其他实际情况和广泛的学术领域。
