Results 1 to 10 of about 1,619,181 (215)
Darboux Vector in Four-Dimensional Space-Time
Advances in Mathematical Physics, 2022 As the space-time model of the theory of relativity, four-dimensional Minkowski space is the basis of the theoretical framework for the development of the theory of relativity.
Na Hu, Tingting Zhang, Yang Jiang
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On the Darboux vector of a new fractional frame
Journal of Applied Mathematics and Computational Mechanics. Fractional derivatives are useful tools for many applications in different branch of science such as optics and engineering. In this paper, the ∧ -fractional frame that is obtained along a space curve by using the ∧ -fractional derivative is being ...
Aykut Toplama, Mustafa Dede
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Darboux transformation and dark vector soliton solutions for complex mKdV systems
Partial Differential Equations in Applied Mathematics, 2021 A Darboux transformation and general vector dark soliton solutions are constructed for multi-component complex modified Korteweg–de Vries (mKdV) system.
Rusuo Ye, Yi Zhang, Wen-Xiu Ma
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Direction Curves Associated with Darboux Vectors Fields and Their Characterizations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2021 In this paper, we consider the Darboux frame of a curve α lying on an arbitrary regular surface and we use its unit osculator Darboux vector D¯o, unit rectifying Darboux vector D¯r, and unit normal Darboux vector D¯n to define some direction curves such ...
Nidal Echabbi, Amina Ouazzani Chahdi
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Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the ''invariance'' of the objects of the ''Darboux theory of integrability''. In particular,
Primitivo B. Acosta-Humánez +1 more
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Smarandache-Based Ruled Surfaces with the Darboux Vector According to Frenet Frame in $E^3$
Journal of New Theory, 2022 The paper introduces a new kind of special ruled surface. The base of each ruled surface is taken to be one of the Smarandache curves of a given curve according to Frenet frame, and the generator (ruling) is chosen to be the corresponding unit Darboux ...
Elif Çan +2 more
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Vector fields and planes inE4which play the role of Darboux vector
TURKISH JOURNAL OF MATHEMATICS, 2020 In this paper, we define some new vector fields along a space curve with nonvanishing curvatures in Euclidean 4-space. By using these vector fields we determine some new planes, curves, and ruled hypersurfaces. We show that the determined new planes play
M. Düldül
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Some anomalous exact solutions for the four-component coupled nonlinear Schrödinger equations on complex wave backgrounds [PDF]
Scientific Reports, 2022 The coupled nonlinear Schrödinger (CNLS) equations are the important models for the study of the multicomponent Bose-Einstein condensates (BECs). In this paper, we study the four-components CNLS equations via Darboux transformation and obtain the N ...
Lu Wang, Li Li, Fajun Yu
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Darboux vector and stress analysis of Winternitz frame
New Trends in Mathematical Science, 2019 In a set of points that corresponds a vector of vector space co nstructed on a field is called an affine space associate with ve c or space. We denote as affine 3-space associated with.
Y. Tunçer, H. Kocayiğit
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PPTFH: Robust Local Descriptor Based on Point-Pair Transformation Features for 3D Surface Matching [PDF]
Sensors, 2021 Three-dimensional feature description for a local surface is a core technology in 3D computer vision. Existing descriptors perform poorly in terms of distinctiveness and robustness owing to noise, mesh decimation, clutter, and occlusion in real scenes ...
Lang Wu +6 more
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