A rogue wave-type irrational solution for the modified Korteweg-de Vries equation

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

Physics Letters A Pub Date : 2025-04-15 DOI:10.1016/j.physleta.2025.130543

Xianghua Jiang , Xifang Cao

引用次数: 0

Abstract

In this paper we construct two algebraic solutions for the modified Korteweg-de Vries equation, one of which is rational and the other is irrational. The rational solution is a soliton, which has been reported in the literature by other means. The irrational solution is a new rogue wave with a peak on top of a soliton. Our result provides a new insight into the theory of rogue waves.

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修正Korteweg-de Vries方程的不规则波型非合理解

本文构造了修正Korteweg-de Vries方程的两个代数解，其中一个是有理的，另一个是无理数的。理性解是一个孤子，这在文献中已经用其他方法报道过。不合理的解决方案是一个新的异常波，在孤子的顶部有一个峰值。我们的结果提供了对异常波理论的新见解。

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.