Results 41 to 50 of about 1,619,181 (215)
Darboux–Bäcklund transformations, dressing & impurities in multi-component NLS
Nuclear Physics B, 2017 We consider the discrete and continuous vector non-linear Schrödinger (NLS) model. We focus on the case where space-like local discontinuities are present, and we are primarily interested in the time evolution on the defect point. This in turn yields the
Panagiota Adamopoulou +2 more
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Smarandache Curves of the Evolute Curve According to Sabban Frame
Communications in Advanced Mathematical Sciences, 2020 The aim of this paper is to define Smarandache curves according to the Sabban frame belonging to the unit Darboux vector of spherical indicatrix curve of the evolute curve. Also, we calculate the geodesic curvatures of these curves.
Süleyman Şenyurt, Yasin Altun
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Darboux transformation with dihedral reduction group [PDF]
, 2014 We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Bäcklund transformation can be viewed as a nonevolutionary integrable differential difference ...
Alexander V. Mikhailov +8 more
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On the generalization of the Darboux theorem
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 Darboux theorem to more general context of Frechet manifolds we face an obstacle: in general vector fields do not have local flows. Recently, Fr\'{e}chet geometry has been developed in terms of projective limit of Banach manifolds.
Kaveh Eftekharinasab
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Darboux Transformation for the Manin-Radul Supersymmetric KdV equation [PDF]
, 1997 In this paper we present a vectorial Darboux transformation, in terms of ordinary determinants, for the supersymmetric extension of the Korteweg-de Vries equation proposed by Manin and Radul. It is shown how this transformation reduces to the Korteweg-de
Alvarez-Gaumé +17 more
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Relation between Darboux Instantaneous Rotation Vectors of Curves on Time-Like Surface [PDF]
Mathematical and Computational Applications, 1996 In this study, a fundamental relation, as a base for the geometry of the time-like surfaces, among the Darboux vectors of an arbitrary time-like curve (c) on a time-like surface and the parameter curves (c1) and (c2) in the Minkowski 3-space R13 was founded.
TOPAL, ALİ, UĞURLU, HASAN HÜSEYİN
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Wheeled pro(p)file of Batalin-Vilkovisky formalism [PDF]
, 2009 Using technique of wheeled props we establish a correspondence between the homotopy theory of unimodular Lie 1-bialgebras and the famous Batalin-Vilkovisky formalism.
Merkulov, S. A.
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Fine Structure of Matrix Darboux-Toda Integrable Mapping [PDF]
, 1998 We show here that matrix Darboux-Toda transformation can be written as a product of a number of mappings. Each of these mappings is a symmetry of the matrix nonlinear Shrodinger system of integro-differential equations. We thus introduce a completely new
Leznov, A. N., Yuzbashyan, E. A.
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Slow invariant manifolds as curvature of the flow of dynamical systems [PDF]
, 2014 Considering trajectory curves, integral of n-dimensional dynamical systems, within the framework of Differential Geometry as curves in Euclidean n-space, it will be established in this article that the curvature of the flow, i.e.
Chua, Leon +2 more
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CONSTRUCTING SOME NEW FRAMES AND ASSOCIATED CURVES USING THE DARBOUX VECTOR FIELDS OF THE FLC-FRAME
Journal of Science and ArtsIn this paper, we define some new frames called the osculating Flc-frame, the normal Flc-frame, and the rectifying Flc-frame along a polynomial space curve using the Darboux vector of the Flc-frame and obtain the derivative equations according to these ...
B. U. Düldül
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