Zakharov系统周期波的谱稳定性

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-03-22 DOI:10.1063/5.0106133

S. Hakkaev, M. Stanislavova, A. Stefanov

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引用次数: 0

摘要

本文研究了Zakharov系统的平面型周期行波的稳定性问题。Angulo和Brango的研究[非线性24,2913(2011)]考虑了这个问题。特别指出，在摄动的技术条件下，这种波相对于同周期的摄动是轨道稳定的。我们的主要成果填补了上述技术条件造成的空白。更准确地说，我们证明了对于参数的所有自然值，周期齿状波是谱稳定的。

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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Spectral stability of periodic waves for the Zakharov system

This paper is concerned with the stability of periodic traveling waves of dnoidal type, of the Zakharov system. This problem was considered in a study of Angulo and Brango [Nonlinearity 24, 2913 (2011)]. In particular, it was shown that under a technical condition on the perturbation, such waves are orbitally stable, with respect to perturbations of the same period. Our main result fills up the gap created by the aforementioned technical condition. More precisely, we show that for all natural values of the parameters, the periodic dnoidal waves are spectrally stable.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.