关于某些方程组解的对应关系的说明

IF 0.5 4区工程技术 Q4 MECHANICS

Journal of Applied Mechanics and Technical Physics Pub Date : 2025-04-08 DOI:10.1134/S0021894424050109

A.G. Kulikovskii

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引用次数: 0

摘要

本文考虑一类描述一维非线性波在\(x\)两个方向上以相同方式传播的双曲方程组。这种类型的每一个系统都可以与基于初始方程组推导出的半阶双曲方程组对应。研究了该方程组解与原方程组解的相似度。

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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NOTE ON THE CORRESPONDENCE OF SOLUTIONS OF SOME SYSTEMS OF EQUATIONS

This paper considers hyperbolic systems of equations of a certain type that describe one-dimensional nonlinear waves propagating in the same way in both \(x\) directions. Each system of this type can be put into correspondence with a hyperbolic system of equations of halved order derived based on the initial system of equations. The similarity of the solutions of this system of equations and the original one is studied.

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来源期刊

Journal of Applied Mechanics and Technical Physics 物理-力学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

4-8 weeks

期刊介绍： Journal of Applied Mechanics and Technical Physics is a journal published in collaboration with the Siberian Branch of the Russian Academy of Sciences. The Journal presents papers on fluid mechanics and applied physics. Each issue contains valuable contributions on hypersonic flows; boundary layer theory; turbulence and hydrodynamic stability; free boundary flows; plasma physics; shock waves; explosives and detonation processes; combustion theory; multiphase flows; heat and mass transfer; composite materials and thermal properties of new materials, plasticity, creep, and failure.