Results 31 to 40 of about 1,619,181 (215)
N-BISHOP DARBOUX VECTOR OF A TIMELIKE CURVE IN MINKOWSKI 3-SPACE
, 2020 It is known that a Bishop frame of a curve is one of the effective alternative approach in the differential geometry. Recently, several important works have been done about the Bishop frames.
H. K. Samanci
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Darboux Integrability and Reversible Quadratic Vector Fields
Rocky Mountain Journal of Mathematics, 2005 The authors study the Darboux theory of integrability for reversible polynomial vector fields in \({\mathbb R}^n\). In particular, they define the concept of \(\varphi\)-reversible vector fields for a given involution \(\varphi\) and show that if \(X\) is a \(\varphi\)-reversible quadratic vector field in \({\mathbb R}^2\) such that the set of fixed ...
Llibre, Jaume, Medrado, João Carlos
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Darboux polynomials and global phase portraits for the D2 vector field [PDF]
Journal of Mathematical Analysis and Applications, 2019 We study a vector field of R^3 equivariant under the D_2 symmetry group, called "the D_2 field" in the literature. We construct the complete list of Darboux polynomials for it, solving the partial differential equation defining them. We also use these polynomials to comment on its global qualitative behaviour.
Katsios, Kostas, Anastassiou, Stavros
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On the Relationship between Two Notions of Compatibility for Bi-Hamiltonian Systems [PDF]
, 2015 Bi-Hamiltonian structures are of great importance in the theory of integrable Hamiltonian systems. The notion of compatibility of symplectic structures is a key aspect of bi-Hamiltonian systems.
Santoprete, Manuele
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Two-component excitation governance of giant wave clusters with the partially nonlocal nonlinearity
Nonlinear Engineering, 2023 Vector giant wave cluster solutions of (2+1)-dimensional coupled partially nonlocal nonlinear Schrödinger equation are found by means of a coupled relation with the Darboux method.
Chen Yi-Xiang
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Some characterizations of dual curves in dual 3-space $ \mathbb{D}^{3} $
AIMS Mathematics, 2021 In this work, we prove that the ratio of torsion and curvature of any dual rectifying curve is a non-constant linear function of its dual arc length parameter.
Rashad Abdel-Baky, Mohamed Khalifa Saad
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Optics Express, 2023 Optical fiber communication plays a crucial role in modern communication. In this work, we focus on the higher-order matrix nonlinear Schrödinger equation with negative coherent coupling in a birefringent fiber.
Zhong Du, Yao Nie, Qian Guo
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Weak Darboux property and transitivity of linear mappings on topological vector spaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 It is shown that every linear mapping ontopological vector spaces always has weak Darboux property, therefore, it is continuous ifand only if it is transitive.
V. K. Maslyuchenko, V. V. Nesterenko
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On the Timelike Sweeping Surfaces and Singularities in Minkowski 3-Space E13
Abstract and Applied Analysis, 2022 The Bishop frame or rotation minimizing frame (RMF) is an alternative approach to define a moving frame that is well defined even when the curve has vanished second derivative, and it has been widely used in the areas of computer graphics, engineering ...
Nadia Alluhaibi +2 more
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Results in Physics, 2023 This paper aims to analyze diverse excitations of partially nonlocal bright–dark Peregrine “three sisters” based on a nonautonomous (3+1)-dimensional vector partially nonlocal nonlinear Schrödinger equation with different diffractions in two horizontal ...
Yi-Xiang Chen
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