Results 31 to 40 of about 212,516 (270)

Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature [PDF]

, 2013
This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James
core   +1 more source

Explicit solutions of some equations and systems of mathematical physics

Advances in Difference Equations, 2020
This paper deals at first with a fully integrable evolution system of nonlinear partial differential equations (PDEs) which is a generalization of the classical Heisenberg ferromagnet equation.
Angela Slavova, Petar Popivanov
doaj   +1 more source

On partial isometries with circular numerical range

Concrete Operators, 2021
In their LAMA 2016 paper Gau, Wang and Wu conjectured that a partial isometry A acting on ℂn cannot have a circular numerical range with a non-zero center, and proved this conjecture for n ≤ 4. We prove it for operators with rank A = n − 1 and any n.
Wegert Elias, Spitkovsky Ilya
doaj   +1 more source

A conditional determination of the average rank of elliptic curves [PDF]

, 2014
Under a hypothesis which is slightly stronger than the Riemann Hypothesis for elliptic curve $L$-functions, we show that both the average analytic rank and the average algebraic rank of elliptic curves in families of quadratic twists are exactly $\frac ...
Fiorilli, Daniel
core   +1 more source

Investigation of Nonlinear Forced Vibrations of the “Rotor-Movable Foundation” System on Rolling Bearings by the Jacobi Elliptic Functions Method

Applied Sciences, 2022
The paper considers a rotor system with a nonlinear characteristic. Its equations of motion are a kind of Duffing class equations with multiple degrees of freedom.
Almatbek Kydyrbekuly, Algazy Zhauyt, Gulama-Garip Alisher Ibrayev   +2 more
doaj   +1 more source

Higher rank elliptic partition functions and multisymmetric elliptic functions

Nuclear Physics B
We introduce and investigate a class of glM+1 partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for ...
Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai   +2 more
doaj   +1 more source

AN EPISODE STARRING THE RESIDUE THEOREM IN THE HISTORY OF ELIPTIC FUNCTIONS

Revista de la Facultad de Ciencias, 2015
In this paper we explain how the Residue Theorem was used perhaps for the first time to determine the Laurent series development of an elliptic function.
Leonardo Solanilla Chavarro, Ana Celi Tamayo Acevedo, Gabriel Antonio Pareja Ocampo   +2 more
doaj   +1 more source

Robust H_∞ Loop Shaping Controller Synthesis for SISO Systems by Complex Modular Functions

Mathematical and Computational Applications, 2021
In this paper, a loop shaping controller design methodology for single input and a single output (SISO) system is proposed. The theoretical background for this approach is based on complex elliptic functions which allow a flexible design of a SISO ...
Ahmad Taher Azar, Fernando E. Serrano, Nashwa Ahmad Kamal   +2 more
doaj   +1 more source

Linear Superposition in Nonlinear Equations [PDF]

, 2001
Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a large class of additional solutions.
A. C. Newell, A. Khare, A. Khare, A. R. Its, Avinash Khare, C. Rebbi, C. S. Gardner, I. M. Krichever, I. S. Gradshteyn, M. Abramowitz, M. J. Ablowitz, P. G. Drazin, S. P. Novikov, Uday Sukhatme   +13 more
core   +3 more sources

Uniqueness results for elliptic problems with singular data

Boundary Value Problems, 2006
We obtain some uniqueness results for the Dirichlet problem for second-order elliptic equations in an unbounded open set Ω without the cone property, and with data depending on appropriate weight functions.
Loredana Caso
doaj   +2 more sources