Results 171 to 180 of about 1,762,917 (199)

Characterizations of a Bertrand Curve According to Darboux Vector

2021
In this paper, we first take a Bertrand curve pair and then we use Darboux vector instead of mean curvature vector to give characterizations of Bertrand partner curve by means of the Bertrand curve. By making use of the relations between the Frenet frames of the Bertrand curve pair we give the differential equations and sufficient conditions of ...
ŞENYURT, Süleyman, ÇAKIR, Osman
openaire   +1 more source

Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces

Rendiconti del Circolo Matematico di Palermo, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Xiang, Llibre, Jaume
openaire   +1 more source

On Vectorial Moment of the Darboux Vector

2019
In this paper we define a new curve denoted by (c*). It is well known that any regular curve can be written by means of Frenet vectors and also via the vectorial moments. In a space we know a regular curve moves around an instantaneous rotation vector called as the Darboux vector.
ŞENYURT, Süleyman, ŞARDAĞ, Hülya, ÇAKIR, Osman   +2 more
openaire   +1 more source

Darboux Integrals for Schr??dinger Planar Vector Fields via Darboux Transformations

2019
In this paper we study the Darboux transformations of planar vector fields of Schr??dinger type. Using the isogaloisian property of Darboux transformation we prove the ''invariance'' of the objects of the ''Darboux theory of integrability''. In particular, we also show how the shape invariance property of the potential is important in order to preserve
Acosta-Hum??nez, P.B., Pantazi, C.
openaire   +1 more source

Darboux Vectors and Constant Curvature Ratios in Minkowski 4-Space

2022
In this paper; we study Darboux vectors, harmonic curvatures and constant curvature ratios of a non-null curve in Minkowski 4-Space.
İyigün, Esen, Günay, Yonca Gül
openaire   +1 more source

Multi-fold Darboux transforms and interaction solutions of localized waves to a general vector mKdV equation

Nonlinear dynamics, 2023
Ruomeng Li, Yihao H. Li, Jingru Geng
semanticscholar   +1 more source

Darboux transformations for Dirac equations in polar coordinates with vector potential and position-dependent mass

The European Physical Journal Plus, 2022
A. Schulze-Halberg
semanticscholar   +1 more source

In an inhomogeneous multicomponent optical fiber: Lax pair, generalized Darboux transformation and vector breathers for a three-coupled variable-coefficient nonlinear Schrödinger system

The European Physical Journal Plus, 2021
Meng Wang, B. Tian
semanticscholar   +1 more source

Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu–Eckhaus equations

Wave motion, 2022
O. Dafounansou, D. Mbah, F.L. Taussé Kamdoum, M.G. Kwato Njock   +3 more
semanticscholar   +1 more source

Darboux Vector and Stress Analysis of Equi-Affine Frame

2018
A set of points that corresponds a vector of vector space constructed on a field is called an affine space associate with that vector space. We denote as affine 3-space A3 associated with IR3.The first written sources that can be achieved about affine space curve theory are based on the 1890's when Ernesto Ces\`{a}ro and Die Schon von Pirondini ...
openaire   +1 more source