Wave breaking via two types of singularities in fluid dynamics with quintic nonlinearity

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-08-18 DOI:10.1016/j.aml.2025.109716

Yuan Xiang , Yan-Nan Zhao , Hui-Qin Hao

引用次数: 0

Abstract

In this paper, we consider wave breaking problem for a simple wave propagating along a stationary medium with its profile characterized by a power function with account of quintic nonlinearity. 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 DSWs during wave breaking via two types of singularities at the soliton edge and small-amplitude edge can be analyzed separately.

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五次非线性流体力学中两类奇点破波

本文研究沿固定介质传播的简单波的破波问题，该波的剖面具有幂函数特征，并考虑了五次非线性。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。通过孤子边缘和小振幅边缘两种奇点分别分析了dsw破波过程中的运动规律。

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

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.