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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Mohammadpouri, Akram, Hasannejad, Sedigheh, Haji Badali, Ali. (1404). The study of maximal surfaces by Lie symmetry. سامانه مدیریت نشریات علمی, 13(4), 1400-1407. doi: 10.22034/cmde.2024.62234.2729
Akram Mohammadpouri; Sedigheh Hasannejad; Ali Haji Badali. "The study of maximal surfaces by Lie symmetry". سامانه مدیریت نشریات علمی, 13, 4, 1404, 1400-1407. doi: 10.22034/cmde.2024.62234.2729
Mohammadpouri, Akram, Hasannejad, Sedigheh, Haji Badali, Ali. (1404). 'The study of maximal surfaces by Lie symmetry', سامانه مدیریت نشریات علمی, 13(4), pp. 1400-1407. doi: 10.22034/cmde.2024.62234.2729
Mohammadpouri, Akram, Hasannejad, Sedigheh, Haji Badali, Ali. The study of maximal surfaces by Lie symmetry. سامانه مدیریت نشریات علمی, 1404; 13(4): 1400-1407. doi: 10.22034/cmde.2024.62234.2729

The study of maximal surfaces by Lie symmetry

Computational Methods for Differential Equations
مقاله 23، دوره 13، شماره 4، دی 2025، صفحه 1400-1407    اصل مقاله (331.47 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.62234.2729
نویسندگان
Akram Mohammadpouri* 1؛ Sedigheh Hasannejad2؛ Ali Haji Badali2
1Faculty of Mathematics, Statistics and Computer Sciences, University of Tabriz, Tabriz, Iran.
2Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.
چکیده
Maximal surfaces, a fascinating class of surfaces in differential geometry, are identified by having a mean curvature equal to zero. This distinctive feature gives rise to a nonlinear second-order partial differential equation. In this current article, we delve into the symmetries that underlie the maximal surface equation. Next, we identify a one-dimensional optimal system of subalgebras that span these symmetries. It provides a powerful tool to analyze and manipulate the equation, making it easier to study. Finally, since we aim not only to explore the underlying symmetries of the maximal surface equation, we demonstrate how these symmetries can be harnessed to uncover and classify a wide range of maximal surfaces by using reduction methods.
کلیدواژه‌ها
Catenoid؛ Helicoid؛ Maximal surface؛ Mean curvature؛ Symmetry group
مراجع
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  • [2] A. Aslam and A. Qadir, Noether Symmetries of the Area-Minimizing Lagrangian, Journal of Applied Mathematics, (2012), 532690.
  • [3] R. Bakhshandeh Chamazkoti, Symmetry Analysis of the Charged Squashed KaluzavKlein Black Hole Metric, Mathematical Methods in the Applied Sciences, 39(12) (2016), 3163–3172.
  • [4] O. Kobayashi, Maximal Surfaces in the 3-Dimensional Minkowski Space L3, Tokyo Journal of Mathematics, 6(2) (1983), 297–309.
  • [5] A. Mohammadpouri, M. S. Hashemi, S. Samaei, Noether Symmetries and Isometries of the Area-Minimizing a Lagrangian on vacuum classes of pp-waves, The European Physical Journal Plus, 138(2) (2023), 1–7.
  • [6] M. Tsamparlis, A. Paliathanasis, and A. Qadir, Noether Symmetries and Isometries of the Minimal Surface Lagrangian Under Constant Volume in a Riemannian Space, International Journal of Geometric Methods in Modern Physics, 12(1) (2015), 1550003.
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