Rogue waves on the periodic background of the Kuralay-II equation

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-03-02 DOI:10.1016/j.wavemoti.2024.103310

Yadong Zhong, Yi Zhang

引用次数: 0

Abstract

We derive the rogue wave solutions of the Kuralay-II equation by applying the Darboux transformation method with the Lax pair on the periodic background. These solutions are represented using Jacobian elliptic functions: dnoidal and cnoidal. The rogue wave solutions can be obtained on the periodic background while the dnoidal travelling periodic wave and cnoidal travelling periodic wave are modulationally unstable with respect to the long-wave perturbations.

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库拉雷-II方程周期性背景上的无规则波

通过在周期背景上应用拉克斯对的达尔布克斯变换方法，我们推导出了库拉雷-II方程的流氓波解法。这些解使用雅各布椭圆函数表示：dnoidal 和 cnoidal。在周期背景上可以得到流氓波解，而 dnoidal 游走周期波和 cnoidal 游走周期波相对于长波扰动是调制不稳定的。

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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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.