与Betchov-Da Rios方程相关的非零孤子曲面

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2022-10-01 DOI:10.1016/S0034-4877(22)00068-4

Yanlin Li, Melek Erdoğdu, Ayşe Yavuz

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引用次数: 1

摘要

本文的目的是研究Minkowski时空中与Betchov-Da Rios方程相关的非零孤子曲面。根据洛伦兹随性刻画，研究了这类非零孤子曲面的微分几何性质。并在这些孤子表面的切线空间上得到了定义的Weingarten型线性映射。利用Weingarten型线性映射生成的两个几何不变量k和h，得到了一些新的结果。然后，得到了非零孤子表面的平均曲率向量场和高斯曲率。最后，通过数值算例说明了这种孤子表面是由平面点组成的。

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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Nonnull soliton surface associated with the Betchov–Da Rios equation

The aim of this paper is to investigate the nonnull soliton surfaces associated with Betchov–Da Rios equation in Minkowski space-time. The differential geometric properties of these kind of nonnull soliton surfaces are examined with respect to the Lorentzian casual characterizations. Moreover, the linear maps of Weingarten type are obtained which are defined on tangent spaces of these soliton surfaces. Some new results are obtained by means of two geometric invariants k and h which are generated by linear maps of Weingarten type. Then, the mean curvature vector field and Gaussian curvature of the nonnull soliton surface are obtained. Finally, it is shown that this kind of soliton surface consists of flat points as a numerical example.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.