周期性背景上 (2+1)-dimensional Myrzakulov-Lakshmanan-IV 方程的无规则波

IF 2.4 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Communications in Theoretical Physics Pub Date : 2024-03-28 DOI:10.1088/1572-9494/ad2c78

Xiao-Hui Wang, Zhaqilao

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引用次数: 0

摘要

本文在周期背景下研究了由五分量非线性演化方程描述的 (2+1)-dimensional Myrzakulov-Lakshmanan (ML)-IV 方程的无赖波解。通过雅各布椭圆函数展开法、达布变换（DT）法和拉克斯对的非线性化，得到了由雅各布椭圆函数 dn 和 cn 表示的两种流氓波解。本文系统地总结了这五种势之间的关系。首先得到一种势的周期性无赖波解，然后直接得到其他四种势的周期性无赖波解。我们发现的解呈现出高阶非线性波方程的动态现象。

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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Rogue waves for the (2+1)-dimensional Myrzakulov–Lakshmanan-IV equation on a periodic background

In this paper, the rogue wave solutions of the (2+1)-dimensional Myrzakulov–Lakshmanan (ML)-IV equation, which is described by five component nonlinear evolution equations, are studied on a periodic background. By using the Jacobian elliptic function expansion method, the Darboux transformation (DT) method and the nonlinearization of the Lax pair, two kinds of rogue wave solutions which are expressed by Jacobian elliptic functions dn and cn, are obtained. The relationship between these five kinds of potential is summarized systematically. Firstly, the periodic rogue wave solution of one potential is obtained, and then the periodic rogue wave solutions of the other four potentials are obtained directly. The solutions we find present the dynamic phenomena of higher-order nonlinear wave equations.

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来源期刊

Communications in Theoretical Physics 物理-物理：综合

CiteScore

5.20

自引率

3.20%

发文量

6110

审稿时长

4.2 months

期刊介绍： Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.