时空分析及超越:更好地理解Camassa-Holm方程

IF 0.4 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Chueh-Hsin Chang, Ching-Hao Yu, T. Sheu
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引用次数: 0

摘要

通过直接散射分析,分析了模拟浅水波浪的Camassa-Holm (CH)方程。通过谱域分析,揭示了一些在时空域分析无法得到的、具有物理意义的波传播特征。为了扩大我们对CH方程的理解,本文在谱域进行了散射分析的基础研究,在时域用有限差分法计算了CH方程的解。我们的目标是在时空分析中得到一些缺失的细节。在选定的初始条件下,CH方程中详细的波的透射和反射在理论上是有启发的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Space-time analysis and beyond: toward a better understanding of Camassa–Holm equation
Camassa-Holm (CH) equation for modeling shallow water wave will be analyzed through direct scattering analysis. Thanks to this analysis in spectral domain, some physically meaningful wave propagation features that can by no means be obtained from the analysis in the space-time domain are exhibited. To broaden our understanding of the CH equation, in this article the study underlying the scattering analysis is performed in spectral domain and the solution of CH equation is computed by the finite difference method in time domain. We aim to get some missing details in the space-time analysis. The detailed wave transmission and reflection in the CH equation, subject to the chosen initial condition, shall be theoretically enlightened.
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来源期刊
Annals of Mathematical Sciences and Applications
Annals of Mathematical Sciences and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
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