On an extended semi-discrete matrix coupled dispersionless system: Darboux transformation and explicit solutions

IF 2.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2024-11-15 DOI:10.1016/j.physleta.2024.130060

H.W.A. Riaz , J. Lin , J. Wang

引用次数: 0

Abstract

In this paper, we present an extended semi-discrete matrix coupled dispersionless system, building on the framework explored in [Appl. Math. Lett. 158 (2024) 109217]. We propose a Lax pair and employ the Darboux transformation to construct explicit solutions. These solutions reveal diverse phenomena, including periodic patterns, breathers, and rogue waves. Notably, the extended system exhibits intricate interactions between bright and dark solitons and between bright solitons and rogue waves. Furthermore, we provide a numerical experiment for the reduced semi-discrete coupled dispersionless equations to demonstrate the effectiveness of the developed method.

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关于扩展的半离散矩阵耦合无分散系统：达尔布变换与显式解

本文以[Appl. Math. Lett. 158 (2024) 109217]中探索的框架为基础，提出了一个扩展的半离散矩阵耦合无色散系统。我们提出了一个拉克斯对，并利用达尔布克斯变换构建了显式解。这些解揭示了各种现象，包括周期模式、呼吸波和流氓波。值得注意的是，扩展系统在亮孤子和暗孤子之间以及亮孤子和流氓波之间表现出错综复杂的相互作用。此外，我们还提供了还原半离散耦合无分散方程的数值实验，以证明所开发方法的有效性。

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

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.