Results 171 to 180 of about 1,619,181 (215)

Vector bright solitons associated with positive coherent coupling via Darboux transformation

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015
Describing coherently coupled and orthogonally polarized waveguide modes in the Kerr medium, vector bright solitons associated with positive coherent coupling are studied in this paper. Some conserved quantities and infinitely many conservation laws are computed, and the existence of Lax pair indicates the integrability of the two-coupled nonlinear ...
Lü, Xing, Ling, Liming
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Invariant hyperplanes and Darboux integrability of polynomial vector fields

Journal of Physics A: Mathematical and General, 2002
Summary: This paper is composed of two parts. In the first part, we provide an upper bound for the number of invariant hyperplanes of the polynomial vector fields in \(n\) variables. This result generalizes those given by \textit{J. C. Artés, B. Grünbaum} and \textit{J. Llibre} [Pac. J. Math. 184, No.
openaire   +1 more source

Characterizations of helices by using their Darboux vectors

2020
In this study, the behavior of the logistic difference model is investigated under random conditions using discrete probability distributions. The logistic difference model consists of parameters that depend on the population models to be used. For the study of random difference equation population models, the parameters are treated as random variables
DÜLDÜL, Mustafa, UYAR DÜLDÜL, Bahar
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On commuting vector fields and Darboux functions for planar differential equations

Lobachevskii Journal of Mathematics, 2013
There are two approaches for the identification of isochronous systems: seeking a local linearization of the vector field or looking for a non-trivial transversal commutator of the vector field. In the present paper, the authors deal with both problems.
Choudhury, A. Ghose, Guha, Partha
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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
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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
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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
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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.
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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
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A New Version Darboux Vector and Characterization Some Special Curves According to Type-2 Bishop Frame in $$\mathbb {R}^{3}$$R3

Proceedings of the National Academy of Sciences India Section A Physical Sciences, 2017
S. Yılmaz, Ü. Z. Savcı
semanticscholar   +2 more sources