相位近似下金兹堡-朗道方程稳态行解的结构特征

IF 2.8 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

The European Physical Journal Plus Pub Date : 2025-01-10 DOI:10.1140/epjp/s13360-024-05962-x

Andrey A. Bocharov, Oleg Yu. Tsvelodub

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引用次数: 0

摘要

本文研究了相近似下金兹堡-朗道方程的解。用解析和数值方法构造了由平凡零解分支出来的周期稳态旅行解族。已经找到了这些家庭进行改组的参数的临界值。指出了在文献中广泛使用的相位近似方程的局限性。对于该模型，证明了周期解与孤子解的结构关系。对数值结果和解析结果进行了比较。

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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Structural features of steady-state traveling solutions of the Ginzburg–Landau equation in the phase approximation

The article investigated solutions of the Ginzburg–Landau equation in the phase approximation. Families of periodic steady-state traveling solutions branching off from the trivial zero solution were constructed analytically and numerically. The critical values of the parameters at which restructuring of such families takes place have been found. Limitations, beyond which the phase approximation equations widely used in the literature become unacceptable, were indicated. For this model, the structural relationship of periodic solutions with soliton ones was demonstrated. The numerical and analytical results were compared.

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来源期刊

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

期刊介绍： The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.