The general cubic wave breaking problem for the photon fluid: Third-order dispersion and self-steepening effects

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

Annals of Physics Pub Date : 2025-09-17 DOI:10.1016/j.aop.2025.170227

Yuan Xiang, Rui Guo

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引用次数: 0

Abstract

In this paper, we consider wave breaking problem for the photon fluid propagating along a stationary medium with its profile characterized by a cubic root shape with account of third-order dispersion and self-steepening effects. Using the finite-band integral method and averaging conservation laws, we derive the periodic solution and the corresponding Whitham equation, respectively. Based on Whitham modulation theory, the dispersive shock wave (DSW) can be approximately represented as a modulated periodic solution with correct phase shift. The motion laws of the DSW at the soliton edge and small-amplitude edge can be analyzed separately. Furthermore, utilizing time reversibility, wave-breaking phenomena and wave structures are explored across distinct parameter spaces of

α

and

β

in the optical field. Additionally, the impacts of the third-order dispersion and self-steepening effects — both governed by

β

— on the evolution of wave structures are examined.

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光子流体的一般三次波破缺问题：三阶色散和自陡化效应

考虑三阶色散和自陡化效应，研究了光子流体沿固定介质传播时的破波问题。利用有限带积分法和平均守恒定律，分别导出了周期解和相应的Whitham方程。基于Whitham调制理论，色散激波可以近似表示为具有正确相移的调制周期解。可以分别分析DSW在孤子边缘和小振幅边缘的运动规律。此外，利用时间可逆性，探索了光场中α和β不同参数空间的破波现象和波结构。此外，还研究了三阶色散和自陡效应（均由β控制）对波结构演化的影响。

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.