高阶非线性薛定谔-麦克斯韦-布洛赫系统的周期性背景上的游荡波

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-09-29 DOI:10.1016/j.wavemoti.2024.103417

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引用次数: 0

摘要

本文以高阶非线性薛定谔-麦克斯韦-布洛赫（Schrödinger-Maxwell-Bloch）系统的雅各布椭圆函数为背景，构建了流波解。雅各布椭圆函数行波解被视为种子解。通过拉克斯对的非线性化和达尔布克斯变换方法，分别得到了雅各布椭圆函数 dn 和 cn 背景上的流氓波和线流氓波。

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Rogue waves on the periodic background for a higher-order nonlinear Schrödinger–Maxwell–Bloch system

In this paper, we construct the rogue wave solutions on the background of the Jacobian elliptic functions for a higher-order nonlinear Schrödinger–Maxwell–Bloch system. The Jacobian elliptic function traveling wave solutions as the seed solutions are considered. Through the approach of the nonlinearization of the Lax pair and Darboux transformation method, the rogue waves and the line rogue waves on the Jacobian elliptic functions dn and cn background are obtained, respectively.

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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.