Geometry Analysis in Mathematical Physics

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: closed (31 October 2022) | Viewed by 3215

Special Issue Editors


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Guest Editor
School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, China
Interests: fractional calculus; local fractional calculus; mathematical physics
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China
Interests: mathematical modelling; nonlinear dynamics; nonlinear analysis; solitons; applied mathematics; mathematical physics; waves; fluid dynamics

Special Issue Information

Dear Colleagues,

Nonlinear science is a major development of natural science in the 21st century after quantum mechanics and relativity. Nonlinear science has become an important symbol of modern scientific development, involving many complex phenomena in natural science and social science, and has broad application prospects. An important achievement in the development of nonlinear science is the establishment and development of mathematical physics theories. The integrability, conservation laws, symmetry, and exact solutions have greatly expanded the depth and breadth of the field of mathematical physics research. Geometric theory is an important part of applied mathematics and mathematical physics. It contains very rich content and research methods. Scholars at home and abroad have carried out comparative and systematic research from different aspects. There are generally analytical methods and approximate methods for solving nonlinear mathematical and physical equations. How to use geometric concepts and related theories to deal with problems in mathematical physics is the main purpose of this Special Issue.

 

Dr. Jiangen Liu
Prof. Dr. Xing Lü
Guest Editors

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Keywords

  • Mathematical Physics Models
  • Geometry and Soliton
  • Geometry and Integrability
  • Geometry and Symmetry
  • Geometry and Exact solutions

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Published Papers (1 paper)

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Research

11 pages, 278 KiB  
Article
Exact Solutions of Maxwell Equations in Homogeneous Spaces with the Group of Motions G3(IX)
by Valeriy V. Obukhov
Axioms 2023, 12(2), 135; https://doi.org/10.3390/axioms12020135 - 29 Jan 2023
Cited by 6 | Viewed by 1469
Abstract
This paper classifies the exact solutions of the Maxwell vacuum equations for the case when the electromagnetic fields and metrics of homogeneous spaces are invariant with respect to the motion group G3(IX). All the appropriate non-equivalent exact [...] Read more.
This paper classifies the exact solutions of the Maxwell vacuum equations for the case when the electromagnetic fields and metrics of homogeneous spaces are invariant with respect to the motion group G3(IX). All the appropriate non-equivalent exact solutions of the Maxwell vacuum equations are found. Full article
(This article belongs to the Special Issue Geometry Analysis in Mathematical Physics)
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