TY - JOUR
ID - 706579
TI - Numerical Solution of Differential Equations of Elastic Curves in 3-dimensional Anti-de Sitter Space
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Latifi, Samira
AU - Abazari, Nemat
AU - Ghasemi, Ghader
AD - Department of Mathematics and Applications, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran.
Y1 - 2023
PY - 2023
VL - 20
IS - 4
SP - 171
EP - 189
KW - Darboux frame
KW - Elastic curve
KW - Geodesic curvature
KW - Anti-de Sitter space
KW - Euler-Lagrange equations
DO - 10.22130/scma.2022.556633.1135
N2 - In this paper, we aim to extend the Darboux frame field into 3-dimensional Anti-de Sitter space and obtain two cases for this extension by considering a parameterized curve on a hypersurface; then we carry out the Euler-Lagrange equations and derive differential equations for non-null elastic curves in AdS$_{3}$ (i.e. 3-dimensional Anti-de Sitter space). In this study, we investigate the elastic curves in AdS$_{3}$ and obtain equations through which elastic curves are found out. Therefore, we solve these equations numerically and finally plot and design some elastic curves.
UR - https://scma.maragheh.ac.ir/article_706579.html
L1 - https://scma.maragheh.ac.ir/article_706579_acc051e72afb6c26018be66dbc062f29.pdf
ER -