（3+1）维变系数势Yu-Toda-Sasa-Fukuyama方程的多异常波动力学

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2025-07-19 DOI:10.1016/j.wavemoti.2025.103604

Yi-Lin Tian , Wen-Yuan Li , Nong-Sen Li , Rui-Gang Zhang , Ji-Feng Cui

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引用次数: 0

摘要

本文研究了弹性（或两层液体）介质中的（3+1）维变系数势Yu-Toda-Sasa-Fukuyama方程（YTST），并用贝尔多项式推导了其双线性形式。通过符号计算方法和Hirota双线性形式，给出了一阶、二阶和三阶异常波的解，包括块状异常波、块状异常波、周期异常波和直线异常波。用三维图形和等高线说明了变系数函数和中心参数值对异常浪形状和峰数的影响。在周期性背景中，裂变和传播的现象被适当地记录下来。这些新结果填补了该模型的异常波解的空白，为深入研究变系数方程提供了很大的认识。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dynamics of multiple rogue waves for (3+1)-dimensional variable-coefficient potential Yu-Toda-Sasa-Fukuyama equation

In the text, we deliberate the (3+1)-dimensional variable-coefficient potential Yu-Toda-Sasa-Fukuyama equation (YTST) in an elastic (or in a two-layer-liquid) medium, and its bilinear form is derived by Bell polynomials. Via symbolic computation method and Hirota bilinear form, the first-order, second-order and third-order rogue wave solutions are presented, involving lump-type, lump-kink-type, periodic and line rogue waves. The effect of variable coefficient functions and parameter values of the center on the shapes and peak numbers of rogue waves is demonstrated and explained in terms of three-dimensional graphs and contours. The appearances bearing fission and propagation in the periodic background are duly traced. The novel outcomes fill the gap in rogue wave solutions for this model, which furnish great awareness going deeply into variable coefficient equations.

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.