Elastic interaction of counter-propagating waves of arbitrary amplitude on the surface of a magnetic fluid in a tangential magnetic field in 3D geometry

IF 2.9 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-08-08 DOI:10.1016/j.physd.2025.134885

Nikolay M. Zubarev , Olga V. Zubareva

引用次数: 0

Abstract

The propagation of nonlinear waves on the initially flat free surface of a magnetic fluid subjected to a strong uniform tangential magnetic field is investigated. For fluids with high magnetic permeability, boundary perturbations of arbitrary shape can propagate undistorted both in the direction of the applied field and against it. We demonstrate that the interaction between counter-propagating spatially localized waves is elastic, i.e., they conserve energy and momentum during collisions. This result is exact: it has been derived for the three-dimensional geometry of the system, with no restrictions on the amplitude of surface waves.

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三维几何中切向磁场中磁流体表面上任意振幅的反传播波的弹性相互作用

研究了在强均匀切向磁场作用下，非线性波在磁性流体初始平坦自由表面上的传播。对于高磁导率的流体，任意形状的边界微扰既可以在外加磁场方向上传播，也可以在外加磁场方向上反向传播。我们证明了反向传播的空间局域波之间的相互作用是弹性的，即它们在碰撞过程中保存能量和动量。这个结果是精确的：它已经导出了系统的三维几何形状，没有限制表面波的振幅。

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

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.