Results 1 to 10 of about 1,880,861 (238)

Magnetic Jacobi Fields in 3-Dimensional Cosymplectic Manifolds

open access: yesMathematics, 2021
We classify the magnetic Jacobi fields in cosymplectic manifolds of dimension 3, enriching the results in the study of magnetic Jacobi fields derived from uniform magnetic fields. In particular, we give examples of Jacobi magnetic fields in the Euclidean
Marian Ioan Munteanu, Ana Irina Nistor
doaj   +4 more sources

On Jacobi-Type Vector Fields on Riemannian Manifolds

open access: yesMathematics, 2019
In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen   +2 more
doaj   +4 more sources

Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method [PDF]

open access: yesScientific Reports
In this research, we utilized the Jacobi elliptic function expansion method to study the truncated M-fractional nonlinear Shynaray-IIA (S-IIA) equation with computational simulations. With the use of a truncated M-fractional derivative, the nonlinear (1 +
Mujahid Iqbal   +7 more
doaj   +2 more sources

Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type

open access: yesJournal of Mathematics
This paper is devoted to Ricci solitons admitting a Jacobi-type vector field. First, we present some rigidity results for Ricci solitons Mn,g,V,λ admitting a Jacobi-type vector field ξ and provide conditions under which ξ is Killing.
Vahid Pirhadi   +2 more
doaj   +2 more sources

Second-order variational analysis of PV–battery energy management using jacobi equations [PDF]

open access: yesScientific Reports
The increasing penetration of photovoltaic (PV) generation requires energy management strategies for PV–battery systems that are not only optimal but also stable and robust under variable solar generation and load demand.
M. M. Mundu   +5 more
doaj   +2 more sources

Jacobi-Lie T-plurality

open access: yesSciPost Physics, 2021
We propose a Leibniz algebra, to be called DD$^+$, which is a generalization of the Drinfel'd double. We find that there is a one-to-one correspondence between a DD$^+$ and a Jacobi--Lie bialgebra, extending the known correspondence between a Lie ...
Jose J. Fernandez-Melgarejo, Yuho Sakatani
doaj   +1 more source

The Hamilton–Jacobi Theory for Contact Hamiltonian Systems

open access: yesMathematics, 2021
The aim of this paper is to develop a Hamilton–Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton–Jacobi equation accordingly to the Hamiltonian and the evolution vector fields for a given Hamiltonian function ...
Manuel de León   +2 more
doaj   +1 more source

The Hamilton-Jacobi Treatment of Complex Fields as Constrained Systems [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2007
The complex scalar field is treated as a constrained system using the Hamilton-Jacobi approach. The reduced phase space Hamiltonian density is obtained without introducing Lagrange multipliers and without any additional gauge fixing condition.
Tamer Eleyan
doaj   +1 more source

Geometrization of the theory of electromagnetic and spinor fields on the background of the Schwarzschild spacetime

open access: yesДоклады Белорусского государственного университета информатики и радиоэлектроники, 2022
The geometrical Kosambi–Cartan–Chern approach has been applied to study the systems of differential equations which arise in quantum-mechanical problems of a particle on the background of non-Euclidean geometry.
N. G. Krylova, V. M. Red’kov
doaj   +1 more source

Magnetic Geodesic in (Almost) Cosymplectic Lie Groups of Dimension 3

open access: yesMathematics, 2022
In this paper, we study contact magnetic geodesics in a 3-dimensional Lie group G endowed with a left invariant almost cosymplectic structure. We distinguish the two cases: G is unimodular, and G is nonunimodular.
Marian Ioan Munteanu
doaj   +1 more source

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