Orbits of massless particles in the Schwarzschild metric: Exact solutions

G Muñoz - American Journal of Physics, 2014 - pubs.aip.org
The problem of finding all the orbits of test particles in the exterior Schwarzschild black hole
metric has an exact solution in terms of elliptic functions. In this paper, we develop in detail …

Euler's rigid rotators, Jacobi elliptic functions, and the Dzhanibekov or tennis racket effect

C Peterson, W Schwalm - American Journal of Physics, 2021 - pubs.aip.org
In this paper, the torque-free rotational motion of a general rigid body is developed
analytically and is applied to the flipping motion of a T-handle spinning in zero gravity that …

Stationary scattering for the nonlinear Schrödinger equation with point-like obstacles: exact solutions

M Mirón, E Sadurní - Nonlinear Dynamics, 2024 - Springer
Abstract We solve the Nonlinear Schrödinger Equation (NLSE) in 1D in presence of one, two
and several Dirac delta potentials. With the help of an equivalent central force problem we …

Dynamics of Jacobi elliptic and soliton solutions for the modified quadratic-cubic nonlinear Schrödinger equation

R Pal, H Kaur, A Goyal, CN Kumar - Journal of Modern Optics, 2019 - Taylor & Francis
We consider the quadratic-cubic nonlinear Schrödinger equation in the presence of external
source, as an approximate model for a relatively quasi-1D Bose-Einstein condensate …

Long range triplet Josephson current and 0− π transitions in tunable domain walls

TE Baker, A Richie-Halford, A Bill - New Journal of Physics, 2014 - iopscience.iop.org
The order parameter of superconducting pairs penetrating an inhomogeneous magnetic
material can acquire a long range triplet component (LRTC) with nonzero spin projection …

Explicit analysis of large transformation of a Timoshenko beam: post-buckling solution, bifurcation, and catastrophes

M Hariz, L Le Marrec, J Lerbet - Acta Mechanica, 2021 - Springer
This paper exposes full analytical solutions of a plane, quasi-static but large transformation
of a Timoshenko beam. The problem is first re-formulated in the form of a Cauchy initial …

Cascading proximity effects in rotating magnetizations

TE Baker, A Richie-Halford, OE Icreverzi… - arXiv preprint arXiv …, 2014 - arxiv.org
We demonstrate two effects that occur in all diffusive superconducting-magnetic
heterostructures with rotating magnetization: the reappearance of singlet $| 0, 0> …

New class of exact solutions to Einstein–Maxwell-dilaton theory on four-dimensional Bianchi type IX geometry

BH Fahim, M Ghezelbash - The European Physical Journal C, 2021 - Springer
We construct new classes of cosmological solution to the five dimensional Einstein–Maxwell-
dilaton theory, that are non-stationary and almost conformally regular everywhere. The base …

Motion of a heavy bead along a circular hoop rotating around an inclined axis

AA Burov, VI Nikonov - International Journal of Non-Linear Mechanics, 2021 - Elsevier
The motion of a heavy bead on a smooth ring is considered. The ring is rotating uniformly
around an inclined diameter. The integrability of the equations is studied using the method …

Efficient table-based polynomial on FPGA

M Barbone, BW Kwaadgras, U Oelfke… - 2021 IEEE 39th …, 2021 - ieeexplore.ieee.org
Field Programmable Gate Arrays (FPGAs) are gaining popularity in the context of scientific
computing due to the recent advances of High-Level Synthesis (HLS) toolchains for …