非零背景下逆时空非局域短脉冲方程的呼吸者、呼吸者位置、异常波

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-11-19 DOI:10.1016/j.wavemoti.2024.103448

Jiaqing Shan, Maohua Li

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引用次数: 0

摘要

本文利用达布变换（DT），在非零背景下构造了逆时空（RST）非局部短脉冲方程的两类呼吸解：有界呼吸解和无界呼吸解。简并DT是通过取特征值的极限并进行高阶泰勒展开式得到的。然后通过简并DT生成N阶呼吸位置解。讨论了呼吸位置解的一些性质。此外，通过对呼吸位置解的退化，推导出了异常波解。

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The breather, breather-positon, rogue wave for the reverse space–time nonlocal short pulse equation in nonzero background

In this paper, by using the Darboux transformation (DT), two types of breather solutions for the reverse space–time (RST) nonlocal short pulse equation are constructed in nonzero background: bounded and unbounded breather solutions. The degenerate DT is obtained by taking the limit of eigenvalues and performing a higher-order Taylor expansion. Then the

N

order breather-positon solutions are generated through degenerate DT. Some properties of the breather-positon solutions are discussed. Furthermore, rogue wave solutions are derived through the degeneration of breather-positon solutions.

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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.