Results 11 to 20 of about 2,437,992 (325)

Affine transformations of the tangent bundle of a common path space

open access: yesДифференциальная геометрия многообразий фигур, 2023
In this paper, we study infinitesimal transformations of the tangent bundle of a common path space. The general path space is a genera­liza­tion space of the affine connectivity.
N. D. Nikitin, O. G. Nikitina
doaj   +1 more source

A Short Note on a Mus-Cheeger-Gromoll Type Metric

open access: yesJournal of New Theory, 2023
In this paper, we first show that the complete lift $U^{c}$ to $TM$ of a vector field $U$ on $M$ is an infinitesimal fiber-preserving conformal transformation if and only if $U$ is an infinitesimal homothetic transformation of $(M,g)$.
Murat Altunbaş
doaj   +1 more source

New Explicit Solutions of the Extended Double (2+1)-Dimensional Sine-Gorden Equation and Its Time Fractional Form

open access: yesFractal and Fractional, 2022
In this paper, the extended double (2+1)-dimensional sine-Gorden equation is studied. First of all, using the symmetry method, the corresponding vector fields, Lie algebra and infinitesimal generators are derived. Then, from infinitesimal generators, the
Gangwei Wang, Li Li, Qi Wang, Juan Geng
doaj   +1 more source

Determining equations for infinitesimal transformation of second and third-order ODE using algorithm in open-source SageMath

open access: yesMalaya Journal of Matematik, 2020
To find exact solutions of nonlinear Ode using Lie symmetry technique it is required to find infinitesimal generator of the group admitted by differential equation, which becomes cumbersome if done manually. The purpose of this paper is to develop algorithm
Vishwas Khare, M. G. Timol
semanticscholar   +1 more source

Lie Symmetry Analysis, Exact Solutions, and Conservation Laws of Variable-Coefficients Boiti-Leon-Pempinelli Equation

open access: yesAdvances in Mathematical Physics, 2021
In this article, we study the generalized (2+1)-dimensional variable-coefficients Boiti-Leon-Pempinelli (vcBLP) equation. Using Lie’s invariance infinitesimal criterion, equivalence transformations and differential invariants are derived.
Feng Zhang, Yuru Hu, Xiangpeng Xin
doaj   +1 more source

Weyl covariance, and proposals for superconformal prepotentials in 10D superspaces

open access: yesJournal of High Energy Physics, 2021
Proposals are made to describe the Weyl scaling transformation laws of supercovariant derivatives ∇ A , the torsion supertensors T AB C , and curvature supertensors R ABc d in 10D superspaces. Starting from the proposal that an unconstrained supergravity
S. James Gates   +2 more
doaj   +1 more source

Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures [PDF]

open access: yesMathematica Bohemica, 2016
We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures $(g, \pmømega)$ with constant scalar curvature is either Einstein, or the dual field of $ømega$ is Killing.
Amalendu Ghosh
doaj   +1 more source

Equivalence transformations of a generalized fifth-order KdV equation with variable coefficients

open access: yesPartial Differential Equations in Applied Mathematics, 2022
By using the infinitesimal method, we firstly obtain the equivalence transformations for a class of generalized fifth-order KdV (gfKdV) equation with variable coefficients.
Xuelin Yong, Yehui Huang, Yinchuan Zhao
doaj   +1 more source

ANALYTICAL SOLUTION OF UNSATURATED SOIL WATER FLOW FROM A POINT SOURCE

open access: yesJournal of Engineering, 2023
Water flow into unsaturated porous media is governed by the Richards’ partial differential equation expressing the mass conservation and Darcy’s laws. The Richards’ equation may be written in three forms,where the dependent variable is pressure head or ...
Maysoon B. Abid   +2 more
doaj   +1 more source

Ginsparg-Wilson-Luscher Symmetry and Ultralocality [PDF]

open access: yes, 1999
Important recent discoveries suggest that Ginsparg-Wilson-Luscher (GWL) symmetry has analogous dynamical consequences for the theory on the lattice as chiral symmetry does in the continuum.
D. B. Kaplan   +17 more
core   +2 more sources

Home - About - Disclaimer - Privacy