Results 161 to 170 of about 1,762,917 (199)

Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain

Chaos, Solitons and Fractals, 2021
Meng Wang, Bo Tian, Tian-Yu Zhou
semanticscholar   +3 more sources

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   +4 more sources

Smarandache Curves According to Sabban Frame Generated by the Spherical Indicatrix Curves of the Unit Darboux Vector of Salkowski Curve

Journal of Institute of Science and Technology, 2020
Bu calismada ilk olarak Salkowski egrisine ait birim Darboux vektorunun birim kure yuzeyi uzerinde cizdigi kuresel egrinin Sabban catisi olusturuldu. Daha sonra bu cati konum vektoru olarak alinarak Smarandache egrileri tanimlandi.
S. Şenyurt, Melek Uzun
semanticscholar   +1 more source

Vector localized and periodic waves for the matrix Hirota equation with sign-alternating nonlinearity via the binary Darboux transformation

The Physics of Fluids, 2023
Dynamical properties of vector localized and periodic waves hold significant importance in the study of physical systems. In this work, we investigate the matrix Hirota equation with sign-alternating nonlinearity via the binary Darboux transformation ...

semanticscholar   +1 more source

A binary Darboux transformation for multi-component nonlinear Schrödinger equations and dark vector soliton solutions

The Physics of Fluids, 2023
By taking the plane wave potentials as the seed solutions, we harness a binary Darboux transformation to generate dark vector soliton solutions for multi-component nonlinear Schrödinger equations.
Rusuo Ye, Yi Zhang
semanticscholar   +1 more source

Darboux transformation, generalized Darboux transformation and vector breather solutions for a coupled variable-coefficient cubic-quintic nonlinear Schrödinger system in a non-Kerr medium, twin-core nonlinear optical fiber or waveguide

Waves in Random and Complex Media, 2021
Non-Kerr media, twin-core nonlinear optical fibers and waveguides are widely applied in optical fiber communications. In order to model the effects of quintic nonlinearity for the ultrashort optical pulse propagation in a non-Kerr medium, twin-core ...
Meng Wang, Bo Tian
semanticscholar   +1 more source

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
openaire   +3 more sources

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
openaire   +2 more sources

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
openaire   +1 more source