Results 101 to 110 of about 1,619,181 (215)
Slant spacelike ruled surfaces and their Bertrand offsets
Frontiers in PhysicsIn this work, we investigate the synthesis problem of slant spacelike ruled surfaces and associated Bertrand offsets (BO) in E13 (Minkowsk 3-space). We provide the parametric equation for a non-developable spacelike ruled surface (SLRS) by using the ...
Areej A. Almoneef, Rashad A. Abdel-Baky
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Homothetic motions in Euclidean 3-space
Kuwait Journal of Science, 2014 A one-parameter homothetic motion of a rigid body in three-dimensional Euclidean space is defined by means of the Hamilton operators. We investigate some properties of this motion and show that it has only one pole point at every instant Furthermore ...
MEHDI JAFARI
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Darboux Integrability For Polynomial Vector Fields Invariant Under Action of Finite Group
Qualitative Theory of Dynamical Systems, 2011 It is clear that a polynomial vector field of degree \(d\) in \(K^n\), with \(K \, = \, \mathbb{R}\) or \(K \, = \, \mathbb{C}\), admits a rational first integral if and only if it possesses an infinite number of invariant irreducible algebraic hypersurfaces. [\textit{J. P. Jouanolou}, Equations de Pfaff algébriques. Lecture Notes in Mathematics.
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Symmetry, Integrability and Geometry: Methods and Applications, 2013 We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-type transformation.
Aristophanes Dimakis +1 more
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Total torsion of three-dimensional lines of curvature. [PDF]
Geom Dedic, 2023 Raffaelli M.
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Direction Curves of Vectorial Moments with Respect to an Alternative Frame in Euclidean Space
Communications in Advanced Mathematical SciencesThis study introduces an alternative geometric framework for analyzing curves in three-dimensional Euclidean space. By constructing a set of alternative frame vectors and examining their corresponding derivative relations, a new perspective on the ...
Sıddıka Özkaldı Karakuş +2 more
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On Infinitesimal L_ω-smooth Functions.
Zanco Journal of Pure and Applied Sciences, 2022 The aim of this paper is to study smoothness, approximate continuity, and approximate derivative in a nonstandard manner with respect to infinitesimal parameters.
Ibrahim O. Hamad
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Frontiers in PhysicsThis study investigates the physical distribution patterns of Peregrine solitons within multi-order rogue wave states and their potential applications in optical systems under the vector Chen-Lee-Liu nonlinear Schrödinger equation framework.
Changchang Pan +4 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2011 The Stäckel transform is applied to the geodesic motion on Euclidean space, through the harmonic oscillator and Kepler-Coloumb potentials, in order to obtain maximally superintegrable classical systems on N-dimensional Riemannian spaces of nonconstant ...
Ángel Ballesteros +4 more
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Akhmediev Breathers and Kuznetsov–Ma Solitons in the Cubic-Quintic Nonlinear Schrödinger Equation
IEEE Photonics JournalFinite background solitons are a significant area of research in nonlinear dynamics, as they are commonly found in various complex physical systems. Understanding how finite background solitons are generated and determining the conditions required for ...
Changchang Pan +3 more
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