This work is licensed under the Creative Commons Attribution 4.0 International License.
Sethian, J. A. (1985), Curvature and the Evolution of Fronts, Commun. Math. Phys., 101, 487-499.Search in Google Scholar
Jian, J.X. (1998), Interfacial Wave Theory of Pattern Formation: Selection of Dendritic Growth and Viscous Fingering in Hele-Shaw Flow, Springer Berlin, Heidelberg, 243-290.Search in Google Scholar
Aiki, M.; Iguchi T. (2019), Motion of a vortex filament in an external flow, Nonlinearity, 32, 7, 2413.Search in Google Scholar
Tsurumi, T.; Segur, H.; Nakayama, K.; Wadati, M. (1997), Motion of curves specified by accelerations, Physics Letters A, 224, 253-263.Search in Google Scholar
Abdel, All, N.; Al-Dossary, M. (2013), Motion of curves specified by acceleration field in ℝn, Applied Mathematical Sciences, 7, 3403–3418.Search in Google Scholar
Bas, S.; Korpinar, T. (2013), Inextensible Flows of Space-like Curves on Space-like Surfaces according to Darboux Frame in M13, Bol. Soc. Paran. Mat, 31, 9-17.Search in Google Scholar
Ergut, M.; Turhan, E.; Korpinar, T. (2013), Characterization of inextensible flows of space-like curves with Sabban Frame in S12, Bol. Soc. Paran. Mat., 31, 47-53.Search in Google Scholar
Korpinar, T.; Turhanand E. (2014), Approximation for Inextensible Flows of Curves in E3, Bol. Soc. Paran. Mat., 32, 45-54.Search in Google Scholar
Bektas, M.S.; Kulahci, M. A . (2015), A Note on Inextensible Flows of Space-like Curves in Light-like Cone, Prespacetime Journal, 6, 313-321.Search in Google Scholar
Arroyo,J.; Garay, O.; Pampano, A. (2017), Binormal Motion of Curves with Constant Torsion in 3-Spaces, Advances in Mathematical Physics, volume 2017, 1-8.Search in Google Scholar
Yuzbasi, Z.K.; Yoon, D.W. (2018), Inextensible Flows of Curves on Lightlike Surfaces, Mathematics, 6, 224.Search in Google Scholar
Yuzbasi, Z.K.; Aslan, E.C.; Inc, M; Ekici, C.; Dumitru, B. (2019), On exact solutions for new coupled nonlinear models getting evolution of curves in Galilean space, Mathematics, 23, S227-S233.Search in Google Scholar
Kaymanli, G.U.; Ekici, C., Dede M. (2020), Directional Evolution of the Ruled Surfaces via the Evolution of Their Directrix Using q-frame along a Time-like Space Curve, EJOSAT, 20, 392-396.Search in Google Scholar
Abdo, K.R. (2020), Moving Space Curve in Minkowski 3-Space and Soliton Equations, IOSR-JM, 16, 7-10.Search in Google Scholar
Yoon, D.W., Yuzbasi, K.Z.; Aslan, E.C. (2022), Evolution of space-like curves and special time-like ruled surfaces in the Minkowski space, Indian J Phys., 96, 995-999.Search in Google Scholar
Eren, K. (2022), Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation, An. St. Univ. Ovidius Constanta, 30, 91-101.Search in Google Scholar
Hussien, R.; Gaber, S. (2016), Generated surfaces via inextensible flows of curves in ℝ3, J. Appl. Math., volume 2016, 1-8.Search in Google Scholar
Gaber, S. (2014), Explicit Examples of Motions of Inextensible Curves in Spherical Space S3, Appl. Math. Inf. Sci. Lett., 2, 77-83.Search in Google Scholar
Gaber, S. (2017), Binormal motions of inextensible curves in de-sitter space 𝕊2,1, Journal of the Egyptian Mathematical Society, 25, 313-318.Search in Google Scholar
Gaber, S. (2021), New models of normal motions of the inextensible curves according to type-1 Bishop frame in ℝ3, Int. J. Geom. Methods Mod. Phys., 18, 2150009.Search in Google Scholar
Gaber, S; Sorour, A.H. (2023), The Geometry of Inextensible Flows of Timelike Curves according to Quasi Frame in Minkowski space ℝ2,1, Symmetry, 15,3, 654.Search in Google Scholar
Gaber, S.; Al Elaiw, A. (2023), Inextensible Flows of Null Cartan Curves in Minkowski Space ℝ2,1, Universe, 9, 125.Search in Google Scholar
Walrave, J. (1995), Curves and surfaces in Minkowski space, ProQuest LLC, Ann Arbor, MI. Thesis (Ph.D.), Katholieke Universiteit Leuven (Belgium).Search in Google Scholar
Lopez, R. (2014), Differential geometry of curves and surfaces in Lorentz-Minkowski space, Int. Electron. J. Geom., 7, 44-107.Search in Google Scholar
